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

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

`-1/4 ,1/4`

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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
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