The expression x^2 + 13x + 30 can be written as (x + a)(x + b), and the expression x^2 + 6x + 9 written as (x + b)(x + c), where a, b, and c are integers. What is the value of a+b+c?
x^2 + 13x+ 30 = (x + 10) (x + 3)
x^2 + 6x + 9 = (x + 3) ( x + 3)
a + b + c =
10 + 3 + 3 =
16