factor theorem Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/factor-theorem/ Mathematics is like music - Enjoy it!!! Tue, 25 Feb 2025 02:18:55 +0000 en-US hourly 1 https://wordpress.org/?v=7.0 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png factor theorem Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/factor-theorem/ 32 32 Class 9 | Chapter 2 | Polynomials | Example 15 https://mathemafia.com/class-9-chapter-2-polynomials-example-15/ Wed, 23 Sep 2020 03:42:36 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2109 Example 15: Factorise x3 – 23x2 + 142x – 120. Example 14 Example 16 Prerequisite These could be little tricky questions for students to solve. Believe me, there is nothing difficult to understand in these questions. Such questions are a mix…

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Example 15: Factorise x3 – 23x2 + 142x – 120.

Example 14
Example 16

Prerequisite

These could be little tricky questions for students to solve. Believe me, there is nothing difficult to understand in these questions. Such questions are a mix of

  • Factor theorem
  • Rational root theorem
  • Factorise by Splitting the middle term

Factor theorem

 

Splitting the middle term

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Example 15 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Example 14 https://mathemafia.com/class-9-chapter-2-polynomials-example-14/ Wed, 23 Sep 2020 03:41:56 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2108 Example 14: Factorise y2 – 5y + 6 by using the Factor Theorem. Example 13 Example 15 Prerequisite Once again!!! Factor theorem should be understood. Factor theorem

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Example 14: Factorise y2 – 5y + 6 by using the Factor Theorem.

Example 13
Example 15

Prerequisite

Once again!!! Factor theorem should be understood.

Factor theorem

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Example 14 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Example 13 https://mathemafia.com/class-9-chapter-2-polynomials-example-13/ Wed, 23 Sep 2020 03:41:39 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2107 Example 13: Factorise 6x2 + 17x + 5 by splitting the middle term, and by using the Factor Theorem. Part 1 – By splitting the middle term  Part 2 – Using Factor theorem  Example 12 Example 14 Prerequisite Factorising a quadratic…

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Example 13: Factorise 6x2 + 17x + 5 by splitting the middle term, and by using the Factor Theorem.

Part 1 – By splitting the middle term

 
Part 2 – Using Factor theorem
 
Example 12
Example 14

Prerequisite

Factorising a quadratic polynomial (degree 2) by splitting the middle term is the easiest method. In this question, we have been asked to solve it using Factor theorem as well. Hence, this question has been divided into two video tutorials –

  • Factorise by splitting the middle term
  • Factorise using Factor theorem by finding the possible rational roots of a polynomial

We have actually used rational root theorem here in part 2 of this question though not mentioned in the video just not to confuse the students by referring to so many theorems. But, the concept has been clearly explained – how to find the possible rational roots of a polynomial equation.

You may know the Factor theorem very well by now. Just in case you need to refer it, here is the video tutorial about the proof of Factor theorem.

Factor theorem

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Example 13 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Example 12 https://mathemafia.com/class-9-chapter-2-polynomials-example-12/ Wed, 23 Sep 2020 03:40:49 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2106 Example 12: Find the value of k, if x – 1 is a factor of 4x3 + 3x2 – 4x + k. Example 11 Example 13 Prerequisite Just like we applied Factor theorem in previous question, this question is also solved…

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Example 12: Find the value of k, if x – 1 is a factor of 4x3 + 3x2 – 4x + k.

Example 11
Example 13

Prerequisite

Just like we applied Factor theorem in previous question, this question is also solved on the same lines.

Factor theorem

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Example 12 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Example 11 https://mathemafia.com/class-9-chapter-2-polynomials-example-11/ Wed, 23 Sep 2020 03:39:31 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2104 Example 11: Examine whether x + 2 is a factor of x3 + 3x2 + 5x + 6 and of 2x + 4. Example 10 Example 12 Prerequisite To check whether a linear polynomial is a factor of another polynomial of degree…

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Example 11: Examine whether x + 2 is a factor of x3 + 3x2 + 5x + 6 and of 2x + 4.

Example 10
Example 12

Prerequisite

To check whether a linear polynomial is a factor of another polynomial of degree great than or equal to 2, the easiest way is to use factor theorem rather than dividing it using long division method which is quite lengthy and time consuming.

Factor theorem

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Example 11 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 5 https://mathemafia.com/class-9-chapter-2-polynomials-exercise-2-4-question-5/ Mon, 21 Sep 2020 14:24:44 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2047 Question 5: Factorise : (i) x3 – 2x2 – x + 2 (ii) x3 – 3x2 – 9x – 5 (iii) x3 + 13x2 + 32x + 20 (iv) 2y3 + y2 – 2y – 1 Question 4 Ex: 2.5 | Question 1 Prerequisite…

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Question 5: Factorise : (i) x3 – 2x2 – x + 2 (ii) x3 – 3x2 – 9x – 5 (iii) x3 + 13x2 + 32x + 20 (iv) 2y3 + y2 – 2y – 1

Question 4
Ex: 2.5 | Question 1

Prerequisite

Factorising a cubic polynomial seems tricky and difficult but believe me, it is not at all difficult. All you need to know is about the possible rational zeros / roots of a polynomial / equation. You can try to find the value of p(x) for these possible values. Once you get such a number, a, for which p(a) is zero, (x-a) will be a factor of the polynomial (by factor theorem). After that we must use splitting the middle term method to find the rest of the polynomials.
Steps:
  • Find probable rational roots by using the rational root theorem. No need to worry about this theorem. It has been explained in detail in this tutorial.
  • Find the value of p(x) for these rational numbers. If you get a number, a, for which p(a) is zero, (x-a) will be one factor.
  • Divide p(x) by (x-a) and get the quotient (quadratic polynomial).
  • Factorise the quotient using splitting the middle term method.

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 4 https://mathemafia.com/class-9-chapter-2-polynomials-exercise-2-4-question-4/ Mon, 21 Sep 2020 14:24:40 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2046 Question 4: Factorise : (i) 12x2 – 7x + 1 (ii) 2x2 + 7x + 3 (iii) 6x2 + 5x – 6 (iv) 3x2 – x – 4 Question 3 Question 5 Prerequisite Factorisation of a 2 degree polynomial (quadratic polynomial) is one of…

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Question 4: Factorise : (i) 12x2 – 7x + 1 (ii) 2x2 + 7x + 3 (iii) 6x2 + 5x – 6 (iv) 3x2 – x – 4

Question 3
Question 5

Prerequisite

Factorisation of a 2 degree polynomial (quadratic polynomial) is one of the easiest things to do in this chapter. If you are not asked to use a specific method to factorise a quadratic polynomial, it is always recommended to use splitting the middle term method.
 
 

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 4 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 3 https://mathemafia.com/class-9-chapter-2-polynomials-exercise-2-4-question-3/ Mon, 21 Sep 2020 14:24:36 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2045 Question 3: Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: (i) p(x) = x2 + x + k (ii) p(x) = 2x2 + kx + √2 (iii) p(x)…

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Question 3: Find the value of k, if x – 1 is a factor of p(x) in each of the following cases:

(i) p(x) = x2 + x + k (ii) p(x) = 2x2 + kx + √2 (iii) p(x) = kx2 – √2 x + 1 (iv) p(x) = kx2 – 3x + k

Question 2
Question 4

Prerequisite

Again, learn Factor theorem to solve this question.
 
 

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
SHARING IS CARING. 😎  If you really like these videos, please share these with your friends and classmates. I have created these videos with a lot of efforts and are absolutely free for everyone. I alone cannot reach out to every student but you can help a lot. 🙏 🙏 🙏  I will really appreciate if you share it with someone. You can use WhatsApp, SnapChat, Twitter, Facebook, Messenger or any other social platform from the icons displayed below. Keep watching and sharing Mathemafia!!! 😎  Cheers!!!
​

Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

The post Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 3 appeared first on Mathemafia.

]]> Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 2 https://mathemafia.com/class-9-chapter-2-polynomials-exercise-2-4-question-2/ Mon, 21 Sep 2020 14:24:29 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2044 Question 2: Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 +…

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Question 2: Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:

(i) p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2 (iii) p(x) = x3 – 4x2 + x + 6, g(x) = x – 3

Question 1
Question 3

Prerequisite

Most of the questions in this chapter are based on Factor theorem. Have a look at it first.
 
 

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
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Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

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