The quadratic $3x^2-24x+72$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$
3 ( x^2-8x) + 72
'complete the square' take 1/2 of the x coefficient square and add it ....and subtract it
3 (x^2-8x+16) -48 + 72
(notice we had to subtract 3 times 16 because it is in the bracket multiplied by 3
3 (x-4)^2 +24 now you can add a b and c