(x^3-18x^2+78x+13)/(x-8)

dividing polynomials
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1 Answer

Use synthetic division by dividing by 8:

8 | 1 -18  78    13

     1    8 -80 | -16

     1 -10   -2 |  -3 (remainder)

The quotient is x2-10x-2.

CHECK

(x-8)(x2-10x-2)-3=x3-10x2-2x-8x2+80x+16-3=x3-18x2+78x+13.

by Top Rated User (1.2m points)

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