6×2+5x-16x+6

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.

(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.

(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.

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)