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Divide using synthetic division: 2a^3+7a^2-a-2 by 2a+1

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spock7 | Student, Undergraduate | (Level 1) Honors

Posted April 18, 2012 at 4:49 PM via web

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Divide using synthetic division: 2a^3+7a^2-a-2 by 2a+1

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rcmath | High School Teacher | (Level 1) Associate Educator

Posted April 18, 2012 at 5:42 PM (Answer #1)

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There is a way to use synthetic division to divide by a factor of the form ax+b and not x+b. That method requires an addition of a line at the end of the problem. 

The best way to work out the given problem is to use regular long division.

                  `a^2+3a-2`

2a+1         `2a^3+7a^2-a-2`

                `2a^3+a^2`     

                      `6a^2-a`

                      `6a^2+3a`

                             `-4a-2`

                             `-4a-2`

                                  0

Hence the answer is `a^2+3a-2`

I included a link to a blog that shows you how to perform long division if the leading coeficient of the divisor is not 1.

 

 

Sources:

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