6. Are the following sets subspaces of P₂? Why or why not? (a) U = {p = P₂|p(3)=0} (b) W = {ao + a₁x + a₂x² | α₁ + 2a2 = ao = 1}

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A: Consider the provided question, given,p1t=1+t2p2t=t+t2and p3t=1+2t+t2

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