Solving for p and q in px^3 + qx^2 - 3x - 7

[SamS90]

Homework Statement

Given that (x-1) and (x+1) are factors of px^3 + qx^2 - 3x - 7 find the value of of p and q.

Homework Equations

Not sure but I think ou have to solve as simultaneous equations.

The Attempt at a Solution

I am completely lost and have no idea where to start.

Any help would be greatly appreciated.

 

[dx]

Hint: If (x+1) and (x-1) are factors of f(x), then f(-1) = 0 and f(1) = 0.