Question

What are all the zeros of function g(x) = (x + 2)(x − 2)(x − 3),

Answer 1

-2, 2 and 3.

Explanation:

each of the brackets could be zero.

So for example x + 2 = 0 gives x = -2.

Answer 2

x=-2 x=2 x=3

Explanation:

g(x) = (x + 2)(x − 2)(x − 3)

Set the function equal to 0

(x + 2)(x − 2)(x − 3) =0

Using the zero product property

x+2 =0 x-2 =0 x-3 =0

Solve each equation

x=-2 x=2 x=3

These are the zeros