Question

Which polynomial function has zeros at -5, 0, and 3? A. f(x) = x(x + 5)(x + 3) B. f(x) = (x² + 5)(x − 3) C. f(x) = x(x - 5)(x - 3) D. f(x) = x(x + 5)(x - 3)​

Answer 1

D

Explanation:

f(x) x(x+5)(x-3)

if x = 0

0(0+5)(0-3) = 0

if x = -5

-5(-5+5)(0-3)

-5(0)(-3) = 0

if x = 3

3(3+5)(3-3)

3(8)(0) = 0