(Section 1.7: Symmetry Revisited) 1.7.4 PART C: POLYNOMIAL FUNCTIONSShort Cuts for Determining whether a Polynomial Function is Even, Odd, or NeitherLet fx()be a nontrivial (or “nonzero”) polynomial written in descending powers of x, though the terms could be reordered. • Delete any terms with zero coefficients. • Nonzero constant terms have degree 0, which is an even degree. •• We could rewrite the constant term 3, for example, as 3x0. •• We define 00to be 1 here. If every term of has evendegree, thenfis even. If every term of has odddegree, thenfis odd. • WARNING 1:If has a nonzero constant term, then fcan’t be odd.If has a term of even degree
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