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Mathematics 8 Online
OpenStudy (lifeisadangerousgame):

Help with finishing this please? :D

OpenStudy (lifeisadangerousgame):

So far, I've already gotten part of the factor (x + 1) using rational roots and synthetic division, but I'm not sure how to keep going

OpenStudy (solomonzelman):

where are you up to so far?

OpenStudy (lifeisadangerousgame):

I've gotten (x + 1) as part of the factor that I need to get as my answer

OpenStudy (solomonzelman):

is this how you got it, \[f(x)=x^3-x^2+2\] -1, So \[(x^3-x^2+2) \div (x+1) =x^2-2x+2,~~~(I~~did~~long~~polynomial~~division)\]or whatever it's called. Now set \[x^3-x^2+2=0 ~~~and~~~solve~~for~~~x\]

OpenStudy (solomonzelman):

I mean \[x^2-2x+2=0\]

OpenStudy (solomonzelman):

\[(x-1)=-2+1=-1\]\[x=1±i\]

OpenStudy (solomonzelman):

but these roots are not real, they are imaginary.

OpenStudy (solomonzelman):

Oh, hold on, I think there is an error.

OpenStudy (lifeisadangerousgame):

I'm really lost with this..

OpenStudy (solomonzelman):

I can reexplain.

OpenStudy (solomonzelman):

Do you know how I got x^2-2x+2?

OpenStudy (lifeisadangerousgame):

no :/

OpenStudy (solomonzelman):

I dd long polynomial division (tricky one)|dw:1385491198516:dw|

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