How do you divide #(5x^2+7x-6)# by #x+2#?

1 Answer
Jun 12, 2015

#(5x^2+7x-6) div (x+2) = (5x-3)#
This answer can be obtained either by factoring or by synthetic division.

Explanation:

By Factoring
Recognize #(5x^2+7x-6) = (5x-3)(x+2)#
Therefore
#color(white)("XXXX")##(5x^2+7x-6)/(x+2)#

#color(white)("XXXX")##= ((5x-3)cancel((x+2)))/cancel((x+2))#

#color(white)("XXXX")##= 5x-3#
Note, however, there is a requirement that #x!= -2#

By Synthetic Division (handy if you don't easily recognize the factoring)
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