Question: (a) Let V= {(x2 + x + 1)p(x) | p(x) in P2}. Show that V is a subspace of P4 and find dim V. (b)

(a) Let V= {(x2 + x + 1)p(x) | p(x) in P2}. Show that V is a subspace of P4 and find dim V. (b) Repeat with V= {{x2 - x)p{x) | p(x) in P3}, a subset of P5.
(c) Generalize.

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b A general polynomial in P 3 has the form px a bx cx 2 dx 3 so V x 2 xa bx cx 2 dx 3 a b c d in ... View full answer

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