question archive Which of the following subsets of P2 are subspaces of P2? (P2 denotes the set of polynomials of degree 2 or less

Which of the following subsets of P2 are subspaces of P2? (P2 denotes the set of polynomials of degree 2 or less

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Which of the following subsets of P2 are subspaces of P2? (P2 denotes the set of polynomials of degree 2 or less.)

A. {p(t) | p′(t)+4p(t)+9=0}

B. {p(t) | p′(0)=p(4)}

C. {p(t) | p(2)=0}

D. {p(t) | p′(t) is constant }

E. {p(t) | p(6)=2}

F. {p(t) | p(−t)=p(t) for all t}

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