# Let S = {2,3 + x, 1 – x2}, p(x) = 2 - x - x2...

###### Question:

Let S = {2,3 + x, 1 – x2}, p(x) = 2 - x - x2 and V = P2. (a) If possible, express p(x) as a linear combination of vectors in S. (b) By justifying your answer, determine whether the set S is linearly independent or linearly dependent. (c) By justifying your answer, determine whether the set S is a basis for P2.

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