Question: Determine if the set T = {x2 - x + 5, 4x3 - x2 + 5x, 3x + 2} spans the vector space of polynomials

Determine if the set T = {x2 - x + 5, 4x3 - x2 + 5x, 3x + 2} spans the vector space of polynomials with degree 4 or less, P4.

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