
Cubic polynomials
Eh. Here's the problem:
"A cubic polynomial is given by where a, b, and k are constants. The function f(x) has a local minimum at (1,10) and a point of inflection at x=2.
a) Find the values of a, b, and k.
b) Use the second derivative to verify that (1,10) really is a local minimum for your function.
c) Find the location of any local maximums for your function. Verify that they are indeed a local maximum."
Here's what I've done so far..
I've found the first derivative,
and the second derivative, .
I then plugged the value of x=1 into the first derivative, getting .
I also plugged the inflection point of x=2 into the second derivative and got
.
From there, I can't seem to remember what to do. Help, please? D:

solve the following linear equations :
to get the value of a, b, and k.