Let B be the basis of set of prime numbers P 3ℙ3 consisting of the Hermite polynomials 1, 2t, negative 2 plus 4 t squared comma−2+4t2, and negative 12 t plus 8 t cubed ;−12t+8t3; and let Bold p (t )equals 5 minus 8 t squared minus 8 t cubed .p(t)=5−8t2−8t3. Find the coordinate vector of p relative to B.