Find the zeros of the function.

f (x) = 9x3 + 18 x2 - 135x

-5 and 3

5 and - 3

0, 5, and - 3

0, - 5, and 3

The answer is

f (x) = 9x3 + 18 x2 - 135x can be written as f (x) = x (9x2 + 18 x - 135)

the first zero must be = 0

let's find the another zeros by solving 9x2 + 18 x - 135=0

f (-5) = 135-135=0, so the answer is

0, - 5, and 3

because f (x) = 9x3 + 18 x2 - 135x = x (x+5) (x-3)