Since it was multiple choice with only two answers, I was able to guess which one it was but I need to know how to show it on paper.
If the image is too small:
Let V be a vector space and let W be a nonempty subset of V. Then W is a subspace of V if and only if the following conditions hold.
(a) If u and v are in
W, then u + v is in
W.
(b) If u is in W and c is a
scalar, then cu is in W.
Use the theorem above to determine whether W is a subspace of V.
V = ?2, W = {bx + cx2}
Since it was multiple choice with only two answers, I was able to guess which one...
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