Question

question 5 of 5
select the correct answer.
which number is a zero of the given function?
$g(x) = (x^2 - 36)(x + 7)$
0
7
18
-6

Explanation:

Step1: Set function equal to 0

$g(x) = (x^2 - 36)(x + 7) = 0$

Step2: Apply zero product rule

$x^2 - 36 = 0$ or $x + 7 = 0$

Step3: Solve $x^2 - 36 = 0$

$x^2 = 36 \implies x = \pm 6$

Step4: Solve $x + 7 = 0$

$x = -7$

Step5: Match with options

The zeros are $6, -6, -7$; $-6$ is an option.

Answer:

-6