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: 8x 2 – 4

Philoid · Accepted Answer

Let f(x) = 8x² – 4

Put f(x) = 0

8x² – 4 = 0

(2√2x – 2) (2√2x + 2) = 0

Now, sum of zeroes

Product of zeroes

Hence, relationship verified.