subset of P2 is a subspace

preview_player
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In the case where we were to do this question, where the polynomial p(x) = x^2 +ax : a is R, will this mean the zero vector does not exist in this subspace? I find it difficult to find explanations with examples where the W does not have a zero vector.

Jeff-xueg
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how 0 is contained in w? because w dont allow the constant, only coefficients of x^2 and x are allowed

adrikamukherjee