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: 2x 2 – 11x + 15

Philoid · Accepted Answer

Let f(x) = 2x² – 11x + 15

Put f(x) = 0

2x² - 11x + 15 = 0

2x² - 6x - 5x + 15 = 0

2x(x - 3) - 5(x - 3) = 0

(2x - 5) (x - 3) = 0

Now, sum of zeroes= =

Product of zeroes

Hence, relationship verified.