(1) If f(x)= ax3
+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))
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