# How do you determine whether x+2 is a factor of the polynomial #2x^3+2x^2-x-6#?

##### 3 Answers

You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.

#### Explanation:

this division has a remainder of -12 so it is not a factor.

Just check if

#### Explanation:

We know that if a polynomial

Lets see.

Then

#### Explanation:

Let

We can use the Polynomial Remainder Theorem, which states when a polynomial,

We are dividing

We have a remainder, which means

If

Hope this helps!