Which binomial is a factor of F(x)=x^4-3x^3-28x^2+36x+144?

Question

ineedhelplz · Answer

(x-6)

medina13 · Answer

Please help me with step by step

satellite73 · Answer

what does "which" mean?  you got choices?

medina13 · Answer

(x-4)
(x+3)
(x-2)
(x-6)

jim_thompson5910 · Answer

@medina13 you're given a list of answer choices, so we can use them to check the answer

choice A has (x-4)

it is in the form x-p where p = 4 in this case

the idea is this

If x-p is a factor of f(x), then f(p) = 0

So in this case, if x-4 is a factor of f(x), then f(4) = 0

Plug x = 4 into f(x) and see if you get 0 or not. If you do, then x-4 is a factor. If you don't, then x-4 is not a factor