Can someone explain step by step how to solve this problem?
(x^4-2x^3-x+2) divided by (x^3-1)

Question

Can someone explain step by step how to solve this problem?
(x^4-2x^3-x+2) divided by (x^3-1)

s4sensitiveandshy · Answer

I believe the synthetic division would also work
bec 
x^3-1
x=1

sharkfinsoup · Answer

Yeah I know I have to use synthetic division but I'm just a little confused on how to do it. Like for the first part, x^3 goes into x^4 three times right? so then the first part is x^3. But then my notes say I have to multiple something and I'm just getting very confused

sharkfinsoup · Answer

ok how would I do that then? I would prefer that over the long divison haha

s4sensitiveandshy · Answer

x^4-2x^3+0x^2-x+2 
did you write 0 for x^2 term ?

jim_thompson5910 · Answer

synthetic division only works if the degree of the denominator is 1

steve816 · Answer

Ahh, that is what I thought initially

sharkfinsoup · Answer

@S4Sensitiveandshy no should I

s4sensitiveandshy · Answer

so it won't work on this one because x^3-1=0
x=1 it still one

jim_thompson5910 · Answer

as @steve816 wrote (but deleted for some reason?) you'll need to use polynomial long division

sharkfinsoup · Answer

ok so I can't use synthetic division, how do I use the long division?

jim_thompson5910 · Answer

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