Consider the function space P3 consisting of of polynomials p(x) with degree at most three. (a) What is the dimension of P3? Give a basis for P3. ƒ₁(x) = = ƒ₂(x) = ƒ3(x) ƒ4(x) = = Now consider the subspace of P3 consisting of polynomials p(x) with degree at most three and p( − 1) = 0. (b) What is the dimension of the subspace? Give a basis for this subspace. 9₁(x) = 92(x) = 93(x) = =

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