3 Title

Beginning Algebra
Tutorial 30: Division of Polynomials

 Step 1: Use distributive property to write every term of the numerator over the monomial in the denominator AND Step 2: Simplify the fractions.

 *Divide EVERY term by 2a squared   *Simplify each term

 Note that the "scratch work" that you see at the right of the long division shows you how that step is filled in.  It shows you the "behind the scenes" of how each part comes about.

 Scratch work:

 Scratch work:

 Scratch work:

 Step 5:  Repeat until done.

 We keep going until we can not divide anymore.   It looks like we can go one more time on this problem. We just follow the the same steps 2 - 4 as shown above.  Our "new divisor" is the last line,  6x - 9.

 Scratch work:

 Step 3 (repeated):  Take the term found in step 1 and multiply it times the divisor.

 Scratch work:

 Step 4 (repeated):  Subtract this from the line above.

 Scratch work:

 Note that the "scratch work" that you see at the right of the long division show you how that step is filled in.  It shows you the "behind the scenes" of how each part comes about.

 Scratch work:

 Scratch work:

 Scratch work:

 Step 5:  Repeat until done.

 We keep going until we can not divide anymore.   It looks like we can go one more time on this problem. We just follow the the same steps 2 - 4 as shown above.  Our "new divisor" is the last line,  -2x - 1.

 Scratch work:

 Step 3 (repeated):  Take the term found in step 1 and multiply it times the divisor.

 Scratch work:

 Step 4 (repeated):  Subtract this from the line above.

 Scratch work:

Last revised on August 2, 2011 by Kim Seward.