Question

How do you divide `(3x ^ { 2} + 7x + 4) \div ( x + 1)`?

Answer 1

`(3x + 4)/(x + 1)`

Explanation:

I don't know how far you want to go with it, but the FIRST step is to factor the numerator:

`3x^2 + 7x +4 = (3x + 4)(x + 1)`

Now the original expression can be simplified to:
`(3x + 4)(x + 1)/(x + 1) = (3x + 4)/(x + 1)`

The following reference describes how to reduce that further.
http://jwilson.coe.uga.edu/EMAT6500/DividingLinearExpressionsPrompt-1.pdf