How do you divide x42x32x2+11x+122x6?

1 Answer
Jan 7, 2016

Long divide coefficients to find:

x42x32x2+11x+122x6=12x3+12x2+12x+7

with remainder 27

Explanation:

I like to long divide coefficients, but first note that 2x6=2(x3), so to simplify the calculation, let's divide by x3, then divide the result (and any remainder) by 2 at the end:

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We find:

x42x32x2+11x+12x3=x3+x2+x+14

with remainder 54.

Hence (dividing by 2):

x42x32x2+11x+122x6=12x3+12x2+12x+7

with remainder 27