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It is given that the graph of y=x^4+ax^3...

It is given that the graph of `y=x^4+ax^3+bx^2+cx+d` (where `a,b,c,d` are real) has at least 3 points of intersection with the x-axis. Prove that either there are exactly 4 distinct points of intersection or one of there 3 point of intersection is a local minimum or meximum.

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