^{3}–9x

^{2}+bx+12 has x+1 and 2x–3 as factors, then find the values of a and b (without using the actual process of Division of Polynomials).

(2) If (x^{2}–4x+3) is a factor of cx^{4}+dx^{3}–13x^{2}–14x+24, then find the values of c and d (without using the actual process of Division of Polynomials).