If f(x)=x^3-7x+5x-9, what is the remainder when f(x) 8is divided by (x+4)?
I'm assuming that you might mean x^2 - 7x^2 + 5x - 9
x^2 - 11x + 49
x + 4 [ x^3 - 7x^2 + 5x - 9 ]
x^3 + 4x^2
___________________
-11x^2 + 5x
-11x^2 - 44x
____________
49x - 9
49x + 196
___________
-205
The remainder is -205
Thanks to Alan for pointing out my previous error....!!!!
I believe that Cphill meant x^3 - 7x^2 + 5x - 9 as opposed to x^2- 7x^2 + 5x - 9.
In case you are wondering, Cphill still calculated the remainder correctly (I did it myself to verify!) despite that writing error.