f(x) := ax˛ + bx + c

find a, b, c ∈ R so that:

for x=-1 f(x)=0, the slope at this point is 2

and for x=1 f'(x)=0

what i haven't encountered before is the expression, THE SLOPE AT THIS POINT IS 2. Does that mean that i take the derivative of the first equation f(x) and that for x=-1 f'(-1)=2, so -2a+b=2 ??

the other two points are clear to me, a-b+c=0 and 2a+b=0