Question: A polynomial p(x) is even if p(- x) = p(x) and odd if p(- x) = - p(x). Let En and On denote the sets

A polynomial p(x) is even if p(- x) = p(x) and odd if p(- x) = - p(x). Let En and On denote the sets of even and odd polynomials in Pn.
Show that On is a subspace of Pn and find dim On.

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If px a 0 a 1 x a n x n is in O n then p x px so a 0 a 1 x ... View full answer

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