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chocolatelover
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Homework Statement
Prove that if p(x)=anx^n +an-1x^n-1+...a0, where a0,..., "an" ε reals, is a polynomial, then p can have at most n roots.
Homework Equations
The Attempt at a Solution
C ε R is a root of a polynomial p if p(c)=0. If c is a root of p, then x-c is a factor of p.
I'm not sure where to go from here. I think it would probably be the easiest to prove this by proving the contrapositive as being false. Could someone please give me a hint or show me where to go from here?
Thank you very much