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Divide
$x^5+3x^4-5x^3+14x^2+30x-16 \ by \ x^3-x^2+x+8$
Solution:
$x^5 + 3 x^4 - 5 x ^3 + 14 x ^2 + 30 x -16$ divided by $x^3 - x ^2 + x +8$
$ x ^3 - x ^2+ x +8 ) x^5 + 3 x ^4- 5 x ^3+ 14 x^2 + 30 x -16( x ^2 + 4 x - 2$
$ x^5 - x ^4 + x ^3 + 8 x^2 $
(-) (+) (-) (-)
_______________________________
$4 x ^4 - 6 x ^3 + 6 x^2 + 30 x$
$4 x ^4 - 4 x ^3 + 4 x ^2 + 32 x$
(-) (+) (-) (-)
_________________________________
$-2 x ^3 + 2 x ^2 - 2 x - 16$
$ -2 x ^3 + 2 x ^2- 2 x - 16$
(+) (-) (+) (+)
________________________________
0
$x^5 + 3 x^4 - 5 x^3 + 14 x^2 + 30 x -16 \ divided \ by \ x^3 - x^2 + x +8$
Quotient - $x^2 + 4^x - 2$
Remainder - 0
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