+1632 By vieta, the sum of the roots (a+b) is 5 (the b term * -1) and the product of the roots (ab) is -11 (the c term).
To clarify: \(a + b = 5\), and \(ab = -11\)
Then, when we open up the parenthesis for (a+3)(b+3), we get ab + 3b + 3a + 9. We can simplify that new expression to:
\(-11 + 3(5) + 9\)
So, (a + 3)(b + 3) = 13.
