Question

I need to simplify this problem in lowest terms

Answer 1

Okay I'm pretty sure this is right but not entirely...
First you would factor both the numerator and the denominator. 
3x³+13x²+4x (You can factor out an x, and simplify it...)
3x³+13x²+4x= x(3x+1)(x+4)

3x³-2x²-x (You can factor out an x and simplify it...)
3x³-2x²-x= x(3x+1)(x-1)

The new fraction is

x(3x+1)(x+4)/x(3x+1)(x-1)
You can cancel out the x's and the (3x+1)'s,
So your new fraction is

x+4/x-1

Answer 2

You should use a calculator this is very easy, you just add up the things in common and then then divide