(x2+12x+35)÷(x+5)

Rewrite the division as a fraction.

x2+12x+35x+5

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 35 and whose sum is 12.

5,7

Write the factored form using these integers.

(x+5)(x+7)x+5

(x+5)(x+7)x+5

Cancel the common factor.

(x+5)(x+7)x+5

Divide x+7 by 1.

x+7

x+7

Simplify (x^2+12x+35)÷(x+5)