I know 3 points: (0,0) (34,3) and (68,0) I also know the gradient at the origin (0,0) is -0.123, and the gradient at (68,) is 0.123 If the general equation is y = ax4 + bx3 + cx …

I'm having trouble factorising questions like these. Sketch the graph of P(x) = x4 - 4x2 + 4 The y intercept is obviously (0,4) but I cant find the x intercepts without factorisi …

Can someone explain the foundations of this concept? Thanks