Question

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

a. (x – 2)(x + 5)(x – 3)
b. (x + 2)(x – 5)(x + 3)
c. (x – 2)(x + 5)
d. (x + 2)(x – 5)

Answer 1

Without any other information the answers could be a and c because they contain the factor x+5

Explanation:

f(-5)=0 means that x=-5 is a zero which means x+5 is a factor

Without any other information f can be any of the expressions that have the factor (x+5)

Answer 2

A. (x-2)(x+5)(x-3) is the correct answer to this question

Hope it helps!