Use Theorem 5.2.1 to determine which of the following are subspaces of P3. (a) All polynomials a0

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Use Theorem 5.2.1 to determine which of the following are subspaces of P3.
(a) All polynomials a0 + a1x + a2x2 + a3x3 for which a0 = 0
(b) All polynomials a0 + a1x + a2x2 + a3x3 for which a0, a1, a2 and a3 and are integers
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