(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 Possible "how to"
Following your devlishly clever method, I deduce that a=2, b=1 and c=1, d=2.
It's a good thing that actual division was banned, as I doubt I ever
would have got the arithmetic right in doing actual division instead of
using your method (which may be viewed as exploiting the Remainder
Posted by Richard
on 2006-03-18 12:56:29