Write the function in the form
f(x) = (x − k)q(x) + r
for the given value of k.
f(x) = x^3 − 6x^2 − 13x + 9, k = −2

Question

Write the function in the form
f(x) = (x − k)q(x) + r
for the given value of k.
f(x) = x^3 − 6x^2 − 13x + 9,  k = −2

moonlitfate · Answer

This was the answer that I got, but it's not correct:  $$f(x) = (x+2)(x ^{2}-8x+3)+(\frac{ 3 }{ x+2 })$$

zepdrix · Answer

So you need to factor out an (x+2) from the polynomial?
Do you use Polynomial long division or synthetic division? :)

moonlitfate · Answer

Synthetic, since (x-k) is in the proper form.  Would be (x+2), I think?

zepdrix · Answer

Yes your factor looks correct :D Hmm synthetic? crap i forget how to do that one XD lol

moonlitfate · Answer

xD Lol.  Put the factor on the outside and the coefficients of the polynomial in a box.  This needs a picture...

moonlitfate · Answer

|dw:1349041173149:dw|

zepdrix · Answer

|dw:1349041143675:dw|
Oh well, I did it the hard way :) lol
Hmmm it looks like you're doing it correctly, are you sure the formula has x-k? :o