Class 9 | Chapter 2 | Polynomials | Example 13

23 Sep
Class 9 - Polynomials, Math - Class 9 | NCERT, , , , , , , , ,

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
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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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