Question

Find the zeros of the function.

f(x) = 9x3 - 45x2 + 36x

0, 1, and 4

-1 and -4

1 and 4

0, -1, and -4

Answer 1

Distribute the common terms out, and then factor the rest

Answer 2

f(x) = 9x^3 - 45x^2 + 36x
The zeros of f(x) are the values of x for which f(x) = 0

9x^3 - 45x^2 + 36x = 0
9x(x^2 - 5x + 4) = 0
9x(x - 1)(x - 4) = 0
x = 0, 1 and 4.