Find the zeros of the function. f (x) = 9x^3 + 36x^2 + 27x

Question

Marin Castro

Mathematics

2 April, 10:56

Find the zeros of the function. f (x) = 9x^3 + 36x^2 + 27x

+4

Answers (2)

Know the Answer?

Luciana · Answer 1

We can take out x so x = 0 is one of the zeroes.

In fact the GCF is 9x so:-

9x (x^2 + 4x + 3) = 0

x^2 + 4x + 3 = 0

(x + 3) (x + 1) = 0

giving x = - 1 or - 3

The three zeroes are 0, - 1 and - 3.

Anya Thompson · Answer 2

9x^3 + 36x^2 + 27x=0

9x (x^2 + 4x + 3) = 0

9x (x+3) (x+1) = 0

9x=0; x=0

x+3=0; x=-3

x+1=0; x=-1

answer

x=0; x=-1; x=-3