How do you divide #(x^2 + 7x + 6)/(x+1)#?

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Answer 1 · 2018-04-20T00:54:49

The result is #x+6#.

First, factor the top:

#color(white)=(x^2+7x+6)/(x+1)#

#=(x^2+x+6x+6)/(x+1)#

#=(color(red)x(x+1)+6x+6)/(x+1)#

#=(color(red)x(x+1)+color(blue)6(x+1))/(x+1)#

#=((color(red)x+color(blue)6)(x+1))/(x+1)#

Now cancel the common factor:

#=((color(red)x+color(blue)6)color(red)cancelcolor(black)((x+1)))/color(red)cancelcolor(black)(x+1)#

#=color(red)x+color(blue)6#

That's the quotient of the division. Hope this helped!