SOLUTION: Divide: (2x^3-19x^2+x-15) / (x+4)

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Question 150732This question is from textbook Algebra 1 AN Incremental Development
: Divide: (2x^3-19x^2+x-15) / (x+4) This question is from textbook Algebra 1 AN Incremental Development

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First term : 2x%5E2
2x%28x%2B4%29=2x%5E3%2B8x%5E2
%282x%5E3-19x%5E2%2Bx-15%29-%282x%5E3%2B8x%5E2%29=highlight%28-27x%5E2%2Bx-15%29
Second term : -27x
-27x%28x%2B4%29=-27x%5E2-108x
highlight%28%28-27x%5E2%2Bx-15%29%29-%28-27x%5E2-108x%29=highlight%28109x-15%29
Third term: 109
109%28x%2B4%29=109x%2B436
highlight%28%28109x-15%29%29-%28109x%2B436%29=-451Remainder term
Put it all together,
%282x%5E3-19x%5E2%2Bx-15%29%2F%28x%2B4%29=2x%5E2-27x%2B109-451%2F%28x%2B4%29