coefficients Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/coefficients/ Mathematics is like music - Enjoy it!!! Mon, 05 Jul 2021 07:29:45 +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 coefficients Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/coefficients/ 32 32 Class 10 | Chapter 2 | Polynomials | Exercise 2.1 https://mathemafia.com/class-10-chapter-2-polynomials-exercise-2-1/ Sun, 20 Jun 2021 04:41:12 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7075 Question 1: The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. Class 10 | Examples Class 10 | Exercise 2.2

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Question 1: The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

Class 10 | Examples
Class 10 | Exercise 2.2

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Sunil Sir has been an excellent math teacher for Saiba. His teaching methods are highly informative, engaging, and motivational which have greatly strengthened Saiba’s understanding of maths concepts. He consistently provides support beyond the classroom and has played an important role in improving Saiba’s problem-solving skills and preparation for math competitions. His dedication and professionalism make him an outstanding educator. Saiba is thankful for his continued support and positive influence.

 

– Saiba’s Parents (USA)

Amazing Math Coach

Sunil is an amazing math coach! My son Rishi loves to learn from him. He makes learning fun and engages Rishi. Sunil is also very patient with kids and understands my son’s learning methods and teaches accordingly with positive reinforcement. Very thankful to him!

 

– Rishi’s Parents (USA)

Rishi (USA Student)

Unique, Patient and Good Mentor

Sunil sir has a unique way of explaining complex concepts, making them simple and understandable. You are very patient and always encourages me to ask queries as many times until the concept is clearer. You are a great person besides being a good mentor and always in a light mood and never gets frustrated for anything. My grades have immensely improved and I am much more confident in maths now.

 

Also, your videos on Mathemafia youtube channel are very informative.

 

– Lakshay (USA)

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❇️ ❇️ M️aster List – All Maths Formulas, Class 10 ❇️ ❇️

Class 10 – Mathematics – NCERT Solutions

  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equation in Two Variables
  1. Quadratic Equations
  2. Arithmetic Progressions
  3. Triangles
  1. Coordinate Geometry
  2. Introduction to Trigonometry
  3. Some Applications of Trigonometry
    • Exercise 9.1
  4. Circles
  1. Areas Related to Circles
  2. Surface Areas and Volumes
  3. Statistics
    • Exercise 13.1
    • Exercise 13.2
    • Exercise 13.3
  4. Probability

Super Cool Stuff

The post Class 10 | Chapter 2 | Polynomials | Exercise 2.1 appeared first on Mathemafia.

]]> Class 10 | Chapter 2 | Polynomials | Exercise 2.3 https://mathemafia.com/class-10-chapter-2-polynomials-exercise-2-3/ Sun, 20 Jun 2021 03:19:37 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7033 Question 1: Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : (i) p(x) = x3 – 3×2 + 5x – 3, g(x) = x2 – 2 (ii) p(x) =…

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Question 1: Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :
 (i) p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2
 (ii) p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
 (iii) p(x) = x4 – 5x + 6, g(x) = 2 – x2

Question 2: Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: (i) t2 – 3 , 2t4 + 3t3 – 2t2 – 9t – 12
(ii) x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2 (iii) x3 – 3x + 1, x5 – 4x3 + x2 + 3x + 1

Question 3: Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5, if two of its zeroes are  5/3 and – 5/3⋅

Question 4: On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x).

Question 5: Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and
(i) deg p(x) = deg q(x) (ii) deg q(x) = deg r(x) (iii) deg r(x) = 0

Class 10 | Exercise 2.2
Class 10 | Chapter 3 | Theorems & Concepts

Testimonials

Saiba

An Excellent Math Teacher

Sunil Sir has been an excellent math teacher for Saiba. His teaching methods are highly informative, engaging, and motivational which have greatly strengthened Saiba’s understanding of maths concepts. He consistently provides support beyond the classroom and has played an important role in improving Saiba’s problem-solving skills and preparation for math competitions. His dedication and professionalism make him an outstanding educator. Saiba is thankful for his continued support and positive influence.

 

– Saiba’s Parents (USA)

Amazing Math Coach

Sunil is an amazing math coach! My son Rishi loves to learn from him. He makes learning fun and engages Rishi. Sunil is also very patient with kids and understands my son’s learning methods and teaches accordingly with positive reinforcement. Very thankful to him!

 

– Rishi’s Parents (USA)

Rishi (USA Student)

Unique, Patient and Good Mentor

Sunil sir has a unique way of explaining complex concepts, making them simple and understandable. You are very patient and always encourages me to ask queries as many times until the concept is clearer. You are a great person besides being a good mentor and always in a light mood and never gets frustrated for anything. My grades have immensely improved and I am much more confident in maths now.

 

Also, your videos on Mathemafia youtube channel are very informative.

 

– Lakshay (USA)

WhatsApp for 1-1 Classes

❇️ ❇️ M️aster List – All Maths Formulas, Class 10 ❇️ ❇️

Class 10 – Mathematics – NCERT Solutions

  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equation in Two Variables
  1. Quadratic Equations
  2. Arithmetic Progressions
  3. Triangles
  1. Coordinate Geometry
  2. Introduction to Trigonometry
  3. Some Applications of Trigonometry
    • Exercise 9.1
  4. Circles
  1. Areas Related to Circles
  2. Surface Areas and Volumes
  3. Statistics
    • Exercise 13.1
    • Exercise 13.2
    • Exercise 13.3
  4. Probability

Super Cool Stuff

The post Class 10 | Chapter 2 | Polynomials | Exercise 2.3 appeared first on Mathemafia.

]]> Class 10 | Chapter 2 | Polynomials | Exercise 2.2 https://mathemafia.com/class-10-chapter-2-polynomials-exercise-2-2/ Sun, 20 Jun 2021 03:19:13 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7032 Question 1: Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) x2 –2x–8 (ii) 4s2 –4s+1 (iii) 6x2 –3–7x (iv) 4u2 +8u (v) t2 –15 (vi) 3x2 –x–4 Question 2:…

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Question 1: Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

(i) x2 –2x–8 (ii) 4s2 –4s+1 (iii) 6x2 –3–7x (iv) 4u2 +8u (v) t2 –15 (vi) 3x2 –x–4

Question 2: Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

i) 1/4,−1 (ii) √2, 1/3 (iii) 0, √5 (iv) 1,1 (v) − 1/4, 1/4 (vi) 4,1

Class 10 | Exercise 2.1
Class 10 | Exercise 2.3

Testimonials

Saiba

An Excellent Math Teacher

Sunil Sir has been an excellent math teacher for Saiba. His teaching methods are highly informative, engaging, and motivational which have greatly strengthened Saiba’s understanding of maths concepts. He consistently provides support beyond the classroom and has played an important role in improving Saiba’s problem-solving skills and preparation for math competitions. His dedication and professionalism make him an outstanding educator. Saiba is thankful for his continued support and positive influence.

 

– Saiba’s Parents (USA)

Amazing Math Coach

Sunil is an amazing math coach! My son Rishi loves to learn from him. He makes learning fun and engages Rishi. Sunil is also very patient with kids and understands my son’s learning methods and teaches accordingly with positive reinforcement. Very thankful to him!

 

– Rishi’s Parents (USA)

Rishi (USA Student)

Unique, Patient and Good Mentor

Sunil sir has a unique way of explaining complex concepts, making them simple and understandable. You are very patient and always encourages me to ask queries as many times until the concept is clearer. You are a great person besides being a good mentor and always in a light mood and never gets frustrated for anything. My grades have immensely improved and I am much more confident in maths now.

 

Also, your videos on Mathemafia youtube channel are very informative.

 

– Lakshay (USA)

WhatsApp for 1-1 Classes

❇️ ❇️ M️aster List – All Maths Formulas, Class 10 ❇️ ❇️

Class 10 – Mathematics – NCERT Solutions

  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equation in Two Variables
  1. Quadratic Equations
  2. Arithmetic Progressions
  3. Triangles
  1. Coordinate Geometry
  2. Introduction to Trigonometry
  3. Some Applications of Trigonometry
    • Exercise 9.1
  4. Circles
  1. Areas Related to Circles
  2. Surface Areas and Volumes
  3. Statistics
    • Exercise 13.1
    • Exercise 13.2
    • Exercise 13.3
  4. Probability

Super Cool Stuff

The post Class 10 | Chapter 2 | Polynomials | Exercise 2.2 appeared first on Mathemafia.

]]> Class 10 | Chapter 2 | Polynomials | Examples https://mathemafia.com/class-10-chapter-2-polynomials-examples/ Sun, 20 Jun 2021 03:13:40 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7025 Example 1: Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x). Example 2: Find the…

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Example 1: Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).

Example 2: Find the zeroes of the quadratic polynomial x2 + 7x + 10, and verify the relationship between the zeroes and the coefficients.

Example 3: Find the zeroes of the polynomial x2 – 3 and verify the relationship between the zeroes and the coefficients.

Example 4: Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2, respectively.

Example 5: Verify that 3, –1, −1/3 are the zeroes of the cubic polynomial p(x) = 3x3 – 5x2 – 11x – 3, and then verify the relationship between the zeroes and the coefficients.

Example 6: Divide 2x2 +3x+1 by x+2.

Example 7: Divide 3x3 +x2 +2x+5 by 1+2x+x2.

Example 8: Divide 3x2 – x3 – 3x + 5 by x – 1 – x2, and verify the division algorithm.

Example 9: Find all the zeroes of 2x4 –3x3 –3x2 +6x–2, if you know that two of its zeroes are 2 and − 2.

Class 10 | Theorems & Concepts
Class 10 | Exercise 2.1

Testimonials

Saiba

An Excellent Math Teacher

Sunil Sir has been an excellent math teacher for Saiba. His teaching methods are highly informative, engaging, and motivational which have greatly strengthened Saiba’s understanding of maths concepts. He consistently provides support beyond the classroom and has played an important role in improving Saiba’s problem-solving skills and preparation for math competitions. His dedication and professionalism make him an outstanding educator. Saiba is thankful for his continued support and positive influence.

 

– Saiba’s Parents (USA)

Amazing Math Coach

Sunil is an amazing math coach! My son Rishi loves to learn from him. He makes learning fun and engages Rishi. Sunil is also very patient with kids and understands my son’s learning methods and teaches accordingly with positive reinforcement. Very thankful to him!

 

– Rishi’s Parents (USA)

Rishi (USA Student)

Unique, Patient and Good Mentor

Sunil sir has a unique way of explaining complex concepts, making them simple and understandable. You are very patient and always encourages me to ask queries as many times until the concept is clearer. You are a great person besides being a good mentor and always in a light mood and never gets frustrated for anything. My grades have immensely improved and I am much more confident in maths now.

 

Also, your videos on Mathemafia youtube channel are very informative.

 

– Lakshay (USA)

WhatsApp for 1-1 Classes

❇️ ❇️ M️aster List – All Maths Formulas, Class 10 ❇️ ❇️

Class 10 – Mathematics – NCERT Solutions

  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equation in Two Variables
  1. Quadratic Equations
  2. Arithmetic Progressions
  3. Triangles
  1. Coordinate Geometry
  2. Introduction to Trigonometry
  3. Some Applications of Trigonometry
    • Exercise 9.1
  4. Circles
  1. Areas Related to Circles
  2. Surface Areas and Volumes
  3. Statistics
    • Exercise 13.1
    • Exercise 13.2
    • Exercise 13.3
  4. Probability

Super Cool Stuff

The post Class 10 | Chapter 2 | Polynomials | Examples appeared first on Mathemafia.

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