Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

Question

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: 4x 2 – 4x + 1

Philoid · Accepted Answer

Let f(x) =4x² – 4x + 1 8x

Put f(x) = 0

4x² - 4x + 1 = 0

(2x)² – 2(2x)(1) + (1)² = 0

(2x - 1)² = 0

Now,

sum of zeroes

Product of zeroes

Hence, relationship verified.