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

1 Answer
Apr 20, 2018

The result is x+6.

Explanation:

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!