+4609 The quadratic \(-6x^2+36x+216\) can be written in the form a(x+b)^2+c, where a,b , and c are constants. What is a+b+c?
+36916 re-arrange -6x^2 + 36x =-216 Divide by -6 (we'll multiply by -6 shortly to even things out)
x^2 -6x = 36 'complete the square'
x^2 - 6x + 9 = 36+9
(x-3)^2 -45 now multiply by -6
-6(x-3)^2 + 270 a = -6 b = -3 c = 270
a+b+c = 261
