SOLUTION: How would I solve this polynomial division problem? (24x^3 + 3) / (2x + 1)

Question 292165: How would I solve this polynomial division problem?
(24x^3 + 3) / (2x + 1)
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, you have a couple of choices:
1) You could divide using long division or synthetic division.
2) You could try factoring the numerator and see if anything will cancel the denominator.
Let's try 2)
Factor 3 from the numerator.
Now factor the binomial in the numerator as the sum of two cubes.

Recall that the sum of two cubes will factor thus:
and here, A = 2x, B = 1, so...
so now we have:
=