Homework Help: Pre Calculus

Posted by Ellen on Wednesday, December 26, 2012 at 8:48pm.

mx3-nx2+5x-1 is divided by x-2 the remainder is -39. When divided by x-1 the remainder is 3. What are the values of m and n. Didn't know how to do the superscript for mx3

Pre Calculus - Steve, Thursday, December 27, 2012 at 5:17am
use ^ for exponents

using synthetic division, the remainders are:

(x-2): 8m-4n+9
(x-1): m-n+4

so, we now know

8m-4n+9 = -39
m-n+4 = 3

(m,n) = (-11,-10)

f(x) = -11x^2 + 10x^2 + 5x - 1

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