NCERT solution Class 10 polynomials

NCERT Solutions

Class 10 Maths

Polynomials

NCERT Questions

Ex. 2.1 Q1
Ex. 2.2 Q1
Ex. 2.2 Q2

Ex. 2.2 Q2

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

(i) Let α and β are the zeroes of the quadratic polynomial ax² + bx + c.

Given, α + β = 1/4 = -b/a

and α * β = -1 = -4/4 = c/a

On comparing, we get

a = 4, b = -1, c = -4

Hence, the required quadratic polynomial is 4x² - x - 4.

(ii) Let α and β are the zeroes of the quadratic polynomial ax² + bx + c.

Given, α + β = √2= 3√2/3 = -b/a

and α * β = 1/3 = c/a

On comparing, we get

a = 3, b = -3√2, c = 1

Hence, the required quadratic polynomial is 3x² - 3√2x + 1.

(iii) Let α and β are the zeroes of the quadratic polynomial ax² + bx + c.

Given, α + β = 0 = 0/1 = -b/a

and α * β = √5 = √5/1 = c/a

On comparing, we get

a = 1, b = 0, c = √5

Hence, the required quadratic polynomial is x² – 0*x + √5 = x² + √5.

(iv) Let α and β are the zeroes of the quadratic polynomial ax² + bx + c.

Given, α + β = 1 = 1/1 = -b/a

and α * β = 1 = 1/1 = c/a

On comparing, we get

a = 1, b = -1, c = 1

Hence, the required quadratic polynomial is x² - x + 1.

(v) Let α and β are the zeroes of the quadratic polynomial ax² + bx + c.

Given, α + β = -1/4 = -b/a

and α * β = 1/4 = c/a

On comparing, we get

a = 4, b = 1, c = 1

Hence, the required quadratic polynomial is 4x² + x + 1.

(vi) Let α and β are the zeroes of the quadratic polynomial ax² + bx + c.

Given, α + β = 4 = 4/1 = -b/a

and α * β = 1 = 1/1 = c/a

On comparing, we get

a = 1, b = -4, c = 1

Hence, the required quadratic polynomial is x² - 4x + 1.

Video solution:

Polynomials Class 10 Maths NCERT Chapter 2 NCERT Solutions

Solving NCERT textbook questions of Polynomials Class 10 Maths NCERT Chapter 2 is a crucial step to gauge your understanding of the concepts. It provides you with an opportunity to assess your grasp of the material after learning each chapter. We have already provided solutions to all the exercises in the NCERT textbook of Class 10 Maths Polynomials, available in various formats such as video, text, and downloadable PDFs. If you need assistance with any of the NCERT questions or any other academic topics, feel free to ask in the “Ask Questions” section of LearnoHub.com.

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Attempt to Solve Yourself: Before looking at the solution, try to solve or answer the question independently. This practice will help you test your knowledge and problem-solving skills.
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Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 10 Maths Polynomials Online Test on LearnoHub.com.
Review and Revise: Regularly review the concepts and solutions you've learned. Revise your notes and practice regularly to retain the knowledge effectively. You may refer Polynomials Class 10 Maths Notes.
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NCERT solutions of Polynomials Class 10 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 10 Maths Polynomials NCERT solutions.