Let P4 be the vector space of polynomials of degree at most 4. (a) Let W1 be the subset of P consists of polynomials p(x) = ao + a1x + a2x? + a3x³ + a4x4 for which ao + az – a4 1. Is W1 a subspace of P,? Justify your answer. %3D (b) Let W2 be the subset of Pa consists of even polynomials; namely, polynomials p(x) for which p(x) = p(-x). Is W2 a subspace of P4? Justify your answer. (c) Let W3 be the subset of P4 consists of polynomials p(x) for which p(2) = 2p(3). Is W3 a subsapce of P4? Justify your answer.

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