# Divide (6x^2+5x-1)/(6x+6)

6×2+5x-16x+6
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅-1=-6 and whose sum is b=5.
Factor 5 out of 5x.
6×2+5(x)-16x+6
Rewrite 5 as -1 plus 6
6×2+(-1+6)x-16x+6
Apply the distributive property.
6×2-1x+6x-16x+6
6×2-1x+6x-16x+6
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(6×2-1x)+6x-16x+6
Factor out the greatest common factor (GCF) from each group.
x(6x-1)+1(6x-1)6x+6
x(6x-1)+1(6x-1)6x+6
Factor the polynomial by factoring out the greatest common factor, 6x-1.
(6x-1)(x+1)6x+6
(6x-1)(x+1)6x+6
Factor 6 out of 6x+6.
Factor 6 out of 6x.
(6x-1)(x+1)6(x)+6
Factor 6 out of 6.
(6x-1)(x+1)6(x)+6(1)
Factor 6 out of 6(x)+6(1).
(6x-1)(x+1)6(x+1)
(6x-1)(x+1)6(x+1)
Cancel the common factor of x+1.
Cancel the common factor.
(6x-1)(x+1)6(x+1)
Rewrite the expression.
6x-16
6x-16
Split the fraction 6x-16 into two fractions.
6×6+-16
Cancel the common factor of 6.
Cancel the common factor.
6×6+-16
Divide x by 1.
x+-16
x+-16
Move the negative in front of the fraction.
x-16
Divide (6x^2+5x-1)/(6x+6)