# How do you use the factor theorem to determine whether 3x+1 is a factor of #f(x)= 3x^4 -11x^3 - 55x^2 + 163x + 60#?

##### 1 Answer

Jun 13, 2018

#### Explanation:

Let's define

Let's set

Now, let's plug this value into our polynomial. This is a hairy problem, so let's not be ashamed to use a calculator. I did but had issues uploading the image, but this evaluates to zero.

Since it evaluated to zero,

Hope this helps!