Question

8. Find a quadratic polynomial whose sum and product of its zeroes are 1/4
and -1 respectively.

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Answer 1

It can have at most(maximum) 2 zeros. You can refer to ncert class 10 maths chapter 2 summary if needed.

A quadratic polynomial will have almost two zeroes..

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Answer 2

Answer :

4x² + x - 4

Solution :

Given,

sum of zeroes = α + β = 1/4

product of zeroes = αβ = -1

p(x) = x² + (α + β)x + αβ

p(x) = x² + (1/4)x - 1

p(x) = 4x² + x - 4