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: 5y 2 + 10y

Philoid · Accepted Answer

Let f(x) = 5y² + 10y

Put f(x) = 0

5y² + 10y = 0

(5y) (y + 2) = 0

∴ x =0 or x = -2

Now, sum of zeroes

Product of zeroes

Hence, relationship verified.