HOW ABOUT A STEP FARTHER, DIVIDE A POLYNOMIAL BY A MONOMIAL:

When dividing a polynomial by a monomial we must always remember that the ENTIRE polynomial gets divided, not just the first term.

Sometimes we even rewrite the division problem so that it looks like a bunch of monomial division problems. Here take a look:

Now just simply divide each monomial quotient like we did in the lesson before this one.

The answer is .

Sometimes the negative coefficients can be troublesome, so go slow and be careful of those negative signs.

Try these one at a time, and click the answer links as you work each:

ANSWER1......ANSWER2.......ANSWER3

Answer1:

*Notice on this one that -6a/-6a=1. The one must be included in the answer.

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Answer2:

*The -1 in front of the d^4 is optional. Many math texts will list this answer in its most simplest form as
.

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Answer3:

*As you can see, the quotient is much simpler looking. That is why math books and teachers often insist on "simplifying" your answers; they are easier to look at and to work with.

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