Question

find the zeros of the function g(x).
g(x) = (x + 1)(x - 1)(x - 4)(x + 4)
write your answer as a list of values separated by commas.
x =

Explanation:

Step1: Set each factor to zero

To find the zeros of \( g(x) = (x + 1)(x - 1)(x - 4)(x + 4) \), we set each factor equal to zero.

• For \( x + 1 = 0 \), we solve for \( x \): \( x = -1 \)
• For \( x - 1 = 0 \), we solve for \( x \): \( x = 1 \)
• For \( x - 4 = 0 \), we solve for \( x \): \( x = 4 \)
• For \( x + 4 = 0 \), we solve for \( x \): \( x = -4 \)

Answer:

-1, 1, 4, -4