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

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

1/4 , -1

#### Solution

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

Given α + ß = 1/4 = –b/a

αß = -1 = c/a

If a = 4, b = -1, c = -4

The quadratic polynomial is 4x2 – x -4.

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#### APPEARS IN

NCERT Class 10 Maths
Chapter 2 Polynomials
Exercise 2.2 | Q 2.1 | Page 33

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