Question: Please show work by typing if possible. [4] Show (that is, verify all the axioms) that the set of second-degree polynomials defined as, P2 =

Please show work by typing if possible.

[4] Show (that is, verify all the axioms) that the set of second-degree polynomials defined as, P2 = {p(x)|p(x) = ax2 + bx + cwhere a, b,cc R} is a vector space. What is the dimension of this vector space

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