How do you divide #(3x^2 - 8x + 2x^3 +3)/(x -+3) # using polynomial long division?

1 Answer
Alan P.
Nov 13, 2015

Quotient: #2x^2+9x+19#
Remainder: #60#

Explanation:

First re-sequence the dividend into descending exponents of #x#

#{: (,,2x^2,+9x,+19,), (,,"----","----","----","----"), (x-3,")",2x^3,+3x^2,-8x,+3), (,,2x^3,-6x^2,,), (,,"----","----",,), (,,,9x^2,-8x,), (,,,9x^2,-27x,), (,,,"----","----",), (,,,,19x,+3), (,,,,19x,-57), (,,,,"----","----"), (,,,,,60) :}#

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