SOLUTION: -Use synthetic division 6x^2+x-7/2x+3

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Question 590100: -Use synthetic division
6x^2+x-7/2x+3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use synthetic division
6x^2+x-7/2x+3
------------------------------
-3/2)....6....1....-7
..........6....-8...|..5

[6x^2+x-7]/(x+3/2) = 6x-8 + 5/(x+(3/2)
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Multiply both sides by (1/2) to get:
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(6x^2+x-7)/(2x+3) = 3x-4 + 5/(2x+3)
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Cheers,
Stan H.