Question: 4. Let n be a positive integer, and V be the vector space ofpolynomials in Q[r] of degree at most n. Given a polynomial PE

4. Let n be a positive integer, and V be the vector space ofpolynomials in Q[r] of degree at most n. Given a polynomial PE V,define f(P)(x) = = P(x) - P(-x) 2x (a) Show that f is a lineartransforma Let \$ n \$ be a positive integer, and \$ V \$ be the vector space of polynomials in \$ \\mathbb{Q}[x] \$ of degree at most \$ n \$. Given a polynomial \$ P \\in V \$, define \\[ f(P)(x)=\\f 2 answers

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