# How do you use the remainder theorem to find which if the following is not a factor of the polynomial #x^3-5x^2-9x+45#?

##### 1 Answer

Oct 28, 2015

Since you did not supply the list referenced as "the following"

I will supply the binomial factors:

#### Explanation:

The remainder theorem says that

the remainder of

which implies that

Using the rational factor theorem we know that if

then

We can test all factors of

which tells us

So

Of course multiplicative combinations of these three should also be considered as factors.

For example