# Class 10 Mathematics Polynomials: NCERT Solutions for Question 2

This page focuses on the detailed Polynomials question answers for Class 10 Mathematics Polynomials, addressing the question: 'Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. '. The solution provides a thorough breakdown of the question, highlighting key concepts and approaches to arrive at the correct answer. This easy-to-understand explanation will help students develop better problem-solving skills, reinforcing their understanding of the chapter and aiding in exam preparation.
Question 2

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

(i) Let α, β are the zeroes of the polynomial ax2+ bx +c, therefore

Sum of zeroes (α + β) = 1/4 =  -b/a

Product of zeroes (αβ) = -1 = c/a

On comparing,

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

Hence, the required polynomial is 4x2 –x – 4

(ii)

(iii)

Let α, β are the zeroes of the polynomial ax2+ bx +c, therefore

Sum of zeroes (α + β) = 0 = -b/a

Product of zeroes (αβ) = √5 = √5/1 = c/a

On comparing,

a = 1, b = 0 and c = √5

Hence, the required polynomial is x2 + √5