2. Recall that P2 denotes the real vector space of all polynomials of degree at most 2 with the usual operations of addi

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2 Recall That P2 Denotes The Real Vector Space Of All Polynomials Of Degree At Most 2 With The Usual Operations Of Addi 1 (86.95 KiB) Viewed 49 times

2. Recall that P2 denotes the real vector space of all polynomials of degree at most 2 with the usual operations of addition and scalar multiplication. For each part, determine whether the given set W is a subspace of P2. Justify your answer using either a proof or a specific counter-example. (a) W = {a + bx + x2 | a,b € R} (b) W = {p € P2P(0) = 2 p(1)} (C) W = {p € P2P0p(3) = 0}