(x2+13x+42)÷(x+6)

Rewrite the division as a fraction.

x2+13x+42x+6

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 42 and whose sum is 13.

6,7

Write the factored form using these integers.

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

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

Cancel the common factor.

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

Divide x+7 by 1.

x+7

x+7

Simplify (x^2+13x+42)÷(x+6)