How do you divide #(x^3-2x^2+2x-9) / (x-2) # using polynomial long division?

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How do you divide #(x^3-2x^2+2x-9) / (x-2) # using polynomial long division?

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Answer 1 · 2015-12-01T12:52:34

#x^2+2# with remainder #(-5)#
(see below for actual polynomial long division)

Explanation:

#{: (,,x^2,,+2,), (,,"----","----","----","----"), (x-2,")",x^3,-2x^2,+2x,-9), (,,x^3,-2x^2,,), (,,"----","----","----","----"), (,,,,+2x,-9), (,,,,"----","----"), (,,,,,-5) :}#

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How do you divide #(x^3-2x^2+2x-9) / (x-2) # using polynomial long division?

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