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

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

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