Determine if the function defines an inner product for polynomials p(x) = a0 + a1x anxn and q(x) = b0 + b1x bnxn. (select all that apply.) p, q = a0b0 + a1b1 + + anbn in pn satisfies p, q = q, p does not satisfy p, q = q, p satisfies p, q + w = p, q + p, w does not satisfy p, q + w = p, q + p, w satisfies c p, q = cp, q does not satisfy c p, q = cp, q satisfies p, p ? 0, and p, p = 0 if and only if p = 0 does not satisfy p, p ? 0, and p, p = 0 if and only if p = 0