# Simplify (x^2+13x+42)÷(x+6)

(x2+13x+42)÷(x+6)
Rewrite the division as a fraction.
x2+13x+42x+6
Factor x2+13x+42 using the AC method.
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 of 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)