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Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. √2 , 1/3 - Mathematics

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

`sqrt2 , 1/3`

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Solution

`sqrt2, 1/3`

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

Given α + ß = `sqrt2` = `(-b)/a`

αß = `1/3 = c/a`

If a = 3, then b = `sqrt2` and  c = 1/3

Therefore, the quadratic polynomial is 3x2 - `3sqrt2` 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 2.2 | Page 33
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