Question: Let n 2 1 and define E = (p(x) E Pn(R) | p(-x) = p(x)} O = (p(x) E Pn(R) | p(-x) = -p(x) }

Let n 2 1 and define E = (p(x) E Pn(R) | p(-x) = p(x)} O = (p(x) E Pn(R) | p(-x) = -p(x) } Prove that Pn(R) = E O O (direct sum). You may use the fact that E and O are subspaces without proving it

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