SOLUTION: Divide using long division. (9p^2 + 8p^3 + 12) ÷ (p + 1)

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Question 891201: Divide using long division.
(9p^2 + 8p^3 + 12) ÷ (p + 1)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Do exactly the same as you would for long division of decimal or whole numbers. Rearrange the dividend as 8p%5E3%2B9p%5E2%2B0%2Ap%2B12. Just as in ordinary long division you process one digit at a time, you must process one degree term at a time in polynomial long division.

8p%5E3%2Fp=8p%5E2.
8p%5E2%28p%2B1%29=8p%5E3%2B8p%5E2.
8p%5E3%2B9p%5E2-%288p%5E3%2B8p%5E2%29=p%5E2.

Next bring down the next term, so the partial dividend is p%5E2%2B0%2Ap.
What is p%5E2%2Fp?
Continue the process!