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1. Show that the first three Laguerre polynomials 1, 1 - t, 2 - 4t + +2 form a basis for P3 and write the

1. Show that the first three Laguerre polynomials 1, 1 - t, 2 - 4t + +2 form a basis for P3 and write the coordinate vectore for t3 - 9t2 + 10t

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