# Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively -1/4 ,1/4 - Mathematics

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

-1/4 ,1/4

#### Solution

-1/4 ,1/4

Let the quadratic polynomial be ax2 + bx + c, and its zeroes be α + ß

Given α + ß = -1/4 = –b/a

αß = 1/4 = c/a

If a = 4, b = 1, c = 1

Therefore, the quadratic polynomial is 4x2 + x +1.

Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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#### APPEARS IN

NCERT Class 10 Maths
Chapter 2 Polynomials
Exercise 2.2 | Q 2.5 | Page 33