Answer:
9 is a zero of h(x). C. Correct
Step-by-step explanation:
We want to find the zeros of the function
[tex]h(x) = (x^2 - 81)(x + 4)[/tex]
The zeros are the values of x that make h(x)=0, thus we need to solve the equation:
[tex](x^2- 81)(x + 4)=0[/tex]
Factoring:
[tex](x^2 - 81)=(x-9)(x+9)[/tex]
[tex](x-9)(x+9)(x + 4)=0[/tex]
This equation has 3 solutions:
x=9, x=-9, x=-4
A. 0 is not a zero of h(x). Incorrect
B. 4 is not a zero of h(x). Incorrect
C. 9 is one of the zeros of h(x) calculated above. Correct
D. 81 is not a zero of h(x). Incorrect
