6×2+43x+7x+7

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⋅7=42 and whose sum is b=43.

Factor 43 out of 43x.

6×2+43(x)+7x+7

Rewrite 43 as 1 plus 42

6×2+(1+42)x+7x+7

Apply the distributive property.

6×2+1x+42x+7x+7

Multiply x by 1.

6×2+x+42x+7x+7

6×2+x+42x+7x+7

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(6×2+x)+42x+7x+7

Factor out the greatest common factor (GCF) from each group.

x(6x+1)+7(6x+1)x+7

x(6x+1)+7(6x+1)x+7

Factor the polynomial by factoring out the greatest common factor, 6x+1.

(6x+1)(x+7)x+7

(6x+1)(x+7)x+7

Cancel the common factor.

(6x+1)(x+7)x+7

Divide 6x+1 by 1.

6x+1

6x+1

Divide (6x^2+43x+7)/(x+7)