# (-4q^3+16q^2+10q-15)/(q-5

Asked By Derionte On 03/15/2017 03:35

## Answers

This problem can be done with either polynomial long division or synthetic division. I prefer synthetic division myself, but if you need long division I will try to walk you through it. It's hard to set up an array for synthetic division so you'll have to use your imagination. Use the opposite of the constant in the divisor, in this case it will be 5, and put it on the far left. Take only the coefficients from the dividend, which are -4, 16, 10 and -15 and put them next to the first 5, like so
5| -4 16 10 -15. Leave a blank line so you can fill in products later, then draw a line.. The -4 moves all the way down. Multiply the -4 by the divisor of 5, write the product under the 16, add and write the sum underneath the line. Take that sum and multiply by the divisor of 5, write the product under the 10, add and write the sum under the line. Repeat until you have an array like this:
5| -4 16 10 -15
-20 -20 -50
__________________
-4 -4 -10 | -65
-65 is the remainder and the quotient is -4q^2 -4q - 10.

Answered On 03/20/2017 03:47

Answered On 03/20/2017 03:47

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