7
lesson pretestMultiple Choice

Pretest

Question 7 • Math 3

If open paren x plus 8 close paren is a factor of f of x , which of the following must be true?

Answer
A
f of negative 8 is equal to 0
B
f of 8 is equal to 0
C
Both x is equal to negative 8 and x is equal to 8 are roots of f of x .
D
Neither x is equal to negative 8 nor x is equal to 8 is a root of f of x .

Explanation

By the Factor Theorem, if (x + 8) is a factor of f(x), then the value of x that makes the factor zero must be a root. Solving x + 8 = 0 gives x = −8, so f(−8) = 0. Therefore, the statement that f of negative 8 equals 0 must be true.

AI-written and checked against the verified answer.

Previous
Next