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## Homework Statement

If the graph of y=x^3+ax^2+bx-8 has a point of inflection at (2,0), what is the value of b?

the answer is 8.

## Homework Equations

## The Attempt at a Solution

y'=3x^2+2ax+b

y''=6x+2a

Let y''=0=6x+2a then i plugged in 2 for x

and got -6=a

So y'=3x^2-12x+b...

I dont know where to go from here.