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 Do not divide! (Posted on 2006-03-18)
(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).

 No Solution Yet Submitted by Ravi Raja Rating: 3.0000 (1 votes)

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 re: Possible | Comment 2 of 7 |
(In reply to Possible "how to" by e.g.)

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 Theorem).
 Posted by Richard on 2006-03-18 12:56:29

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