Determine if the set of all polynomials of the form p(t) = a + t^2, where a is in R, is a subspace of P2. Yes, it is a subspace of P2. No, it is not a subspace of P2.
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The zero polynomial is in the set: The zero polynomial is p(t) = 0 + 0t^2, which is in the set since a = 0 is in R. Show more…
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