Match each polynomial function with one of its factors.
1.f(x) = x3 − 3x2 − 13x + 15
2.f(x) = x4 + 3x3 − 8x2 + 5x − 25
3.f(x) = x3 − 2x2 − x + 2
4.f(x) = -x3 + 13x − 12 pairs

1. x − 2 2. x + 3 3. x + 4 4. x + 5

1. f(x) = x3 - 3x2 -13x + 15, one of its factors from the given choices is (x+3).

How? You just have to go through the given choices, substitute the value (ex: for x+3, it will become x=-3) to the equation, and if it gives you an answer of "0" (zero), then that means that the number you have substituted to the equation is one of the factors. That is according to the Factor Theorem.

2. (x+5)
3. (x-2)
4. (x+4)