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 – 3

Philoid · Accepted Answer

Let f(x) = 4x² - 4x - 3

Put f(x) = 0

4x² - 4x - 3 = 0

4x² - 6x + 2x - 3 = 0

2x(2x - 3) + 1(2x - 3) = 0

(2x + 1) (2x - 3) = 0

Now, sum of zeroes = -1 =

Product of zeroes

Hence, relationship verified.