NCERT Solutions for Class 10 Maths Chapter 2

Important NCERT Questions

Polynomials

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 2.2

Page No:33

Questions No:1 Part:2

# Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. √(2 ) ,1/3

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Let α and β are the zeroes of the polynomial ax² + bx + c, then we have

α + β = √2 = (3√2)/3 = (-b)/a

αβ = 1/3 = c/a

On comparing,

a = 3, b =-3/√2 and c = 1

Hence, the required quadratic polynomial is 3x² – 3/√2 + 1.

Video Explanation 😃

Understanding polynomials is essential for further study in mathematics, including topics such as algebra and calculus. Studying polynomials helps students develop important mathematical skills, such as algebraic manipulation, problem-solving, and critical thinking.