Real Analysis: Proof by induction that a polynomial of degree n>0 has at most n roots.

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A polynomial of degree n>0 has at most n roots. (A root of a function is a point at which the function has value 0.)

I need a proof by induction to show this. Please do not respond if you don't know how to do a proof by induction. Thanks...

Note: We only consider polynomial with REAL ...