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Let P denote the vector space of all polynomials with real coefficients and Pn be the...

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Basic Math

Let P denote the vector space of all polynomials with realcoefficients and Pn be the set of all polynomials in pwith degree <= n.

a) Show that Pn is a vector subspace of P.

b) Show that {1,x,x2,...,xn} is a basisfor Pn.

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