Question: Prove that the vector space P of all polynomials is not finite-dimensional. Suppose that {p1(t), p2(t), ( ( ( ( Pk(t)} is a finite basis

Prove that the vector space P of all polynomials is not finite-dimensional. Suppose that {p1(t), p2(t), ( ( ( ( Pk(t)} is a finite basis for P. Let dj = degree Pj (t). Establish a contradiction.

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