a. Let V be the the set of polynomials of degree less than or equal to 2, with operations defined as follows: p(x) + q(x) = (a + bx + cx*) + (d + ex + fx*) = (a + d) + (b + e)x + (ef)x² Bp(x) = B(a + bx + cx²) = B(a²) + (ßb)x + (Bc)x² Determine whether the following axiom holds or fails. B[p(x) + q(x)] = ßp(x) + Bq(x), Where p(x).q(x) eV and ß is a scalar.

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