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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 - Mathematics

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

`1/4 , -1`

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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.

  Is there an error in this question or solution?
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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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