Find a factor of a certain polynomial

Question

This question is a bit confusing to me. So here it is: If the polynomial P(x) has factors of 12, (x-5), and (x+4), which of the following must also be a factor of P(x)?

a)2x^2 + 8

b) 4x^2 - 20

c) 6x^2 - 6x - 150

d)x^2 - 10x +25

Once you find the answer, can you explain it to me?

Answer 1

Which of the four choices have polynomials that have factors of either 12, (x - 5), or (x + 4)?

 

You need to factor each choice.