(1) If f(x)= ax³–9x²+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 (x²–4x+3) is a factor of cx⁴+dx³–13x²–14x+24, then find the values of c and d (without using the actual process of Division of Polynomials).

(In reply to re: Possible indeed (solution to part (1)) by Mindrod)

x^2-4x+3 is easily factored by inspection as (x-1)(x-3).  The problem should have required no quadratic formula also!

Posted by Richard on 2006-03-18 14:54:33