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

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

1, 1

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Solution

1, 1

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

Given α + ß = `–b/a = 1`

αß = `c/a = 1`

If a = 1, b = -1, and c = 1

Therefore, the quadratic polynomial is x2 – 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 2.4 | Page 33
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