Question: Problem I ( 10 points ) Let P , = ] do ta , x + a z x 2 + axs Co, a, a2,

Problem I ( 10 points ) Let P , = ] do ta , x + a z x 2 + axs Co, a, a2, a, GIR) be the vector space of polynomials of degrees at most 3 with real coefficients . Is , I , (24x ) (3+x ), (4+x ) 3 5 a basis of Pa ? A detailed justification of your answer is required

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