Let P₂(x) = {ax² + b | a, b e R and a #0}. If p(x) = ax² +b and g(x) = cx² + d are elements of P2(x), let be the operation on P₂ such that. Show that (P2, p(x) * q(x) = (ac) x² + (ad + bc) (P2, *) is a group.

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