Question

If a polynomial function f(x) has roots 3 + 5 and -6, what must be a factor of f(x)?

A) (x + 8)
B) (x - 2)
C) (x - 8)
D) (x + 2)

Answer 1

The factor of the polynomial function f(x) with roots 3 + 5 and -6 is (x - 8).

Step-by-step explanation:

If a polynomial function has roots 3 + 5 and -6, then the factors of the polynomial are (x - (3 + 5)) and (x - (-6)). Simplifying this expression gives us (x - 8) and (x + 6).

Therefore, the factor of the polynomial function f(x) must be (x - 8).