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

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

4, 1

#### Solution

4,1

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

Given α + ß = 4 = –b/a

αß = 1 = c/a

If a = 1, then b = -4, c = 1

Therefore, the quadratic polynomial is x2 – 4x +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 2.6 | Page 33

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