How do you use long division to divide #(5x^2-17x-12)div(x-4)#?

1 Answer
Barney V.
Jan 18, 2017

#5x+3#

Explanation:

# color(white)(aaaaaaaaaa)##5x+3#
#color(white)(aaaaaaaaaa)##-----#
#color(white)(aaaa)x-4##|##5x^2-17x-12##color(white) (aaaa)##∣##color(blue)(5x+3)#

#color(white)(aaaaaaaaaa)##5x^2-20x##color(white)#
#color(white)(aaaaaaaaaa)##----#
#color(white)(aaaaaaaaaaaaa)##0+3x-12#

#color(white)(aaaaaaaaaaaaaaaaa)##3x-12#
#color(white)(aaaaaaaaaaaaaaaaa)##---#
#color(white)(aaaaaaaaaaaaaaaaaa)##0+0#

The remainder is #=0# and the quotient is #=5x+3#

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