Let Po, P1, and P₂ be the orthogonal polynomials described below, where the inner product on P4 is given by evaluation at -2, -1, 0, 1, and 2. Find the orthogonal projection of t³ onto Span{po,P₁,P₂}. Po(t)= = 2 P₁ (t) = 4t P₂ (t) = 1²-2 The orthogonal projection of t3 onto Span{po,P₁,P₂} is (Simplify your answer.)

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