Let be a cubic polynomial which is odd and has zeros at and

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Let f(x)f(x) be a cubic polynomial which is odd and has zeros at x=0x=0 and x=2x=2. If f(1)=−4f(1)=-4, determine f(x)f(x).

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