Question

[Part 1 (4 points)] Show all work in simplifying Be sure to list restrictions.
[Part 2 (2 points)] Use complete sentences to explain your process.

3x^2 + 3x -36
-------------
x^2 -x -6

Answer 1

You need to factor both the quadratic expressions.

You can factor 3 out of the top expression to get 3(x^2+x-12). By further factoring, you get 3(x+4)(x-3).

The bottom expression can be factored as (x-3)(x+2).

Dividing, you get:
3(x+4)/(x+2)

Because x-3 cancels out.