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Divide
$x^2-31x+47 \ by \ 2x-5$
Solution:
$2 x -5 ) 6 x ^2- 31 x + 47( 3 x - 8$
$6 x ^2 - 15 x$
(-) (+)
__________________
$ - 16 x + 47$
$ - 16 x + 40$
(+) (-)
__________________
7
$6 x^2 - 31 x + 47 $ divided by $2 x -5$
Quotient - 3 x -8
Remainder - 7