Question

The function G is given in three equivalent forms which form most quickly reveals the zeros of the function?

A) g(x) = 3(x+1)^2 -12
B) g(x) = 3x^2+6x-9
C) g(x) = 3 (x+3) (x-1)

Write one of the zeros.
x=

Answer 1

C) g(x) = 3 (x+3) (x-1)

Zeros: x = 1, -3

Explanation:

Factorized form is the quickest way to find zeroes

Answer 2

C) g(x) = 3 (x+3) (x-1)

The zeros are -3,1

Explanation:

A) g(x) = 3(x+1)^2 -12 This is in vertex form

B) g(x) = 3x^2+6x-9 This is in standard form

C) g(x) = 3 (x+3) (x-1) This is in factored form

3 (x+3) (x-1) =0 to find the x intercept

using the zero product property

x+3 =0 x-1= 0

x=-3 x=1 are the x intercept or zeros