# Find the Zeroes of the Following Quadratic Polynomials and Verify the Relationship Between the Zeroes and the Coefficients - Mathematics

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients

4s2 – 4s + 1

#### Solution

4s2 – 4s + 1 = 4s2 – 2s - 2s + 1

=2s(2s - 1) - 1(2s - 1)

=(2s - 1)(2s -1)

=2(s - 1/2)2(s - 1/2)

Therefore the zeroes of the polynomial are 1/2, 1/2

Relationship between the zeroes and the coefficient of the polynomial:

Also sum of the zeroes = 1/2+1/2 =1

Also product of the zeroes = 1/2xx1/2=1/4

hence verfied.

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 1.2 | Page 33
RD Sharma Class 10 Maths
Chapter 2 Polynomials
Exercise 2.1 | Q 1.2 | Page 33