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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 \[x^2-2x+2=0\]
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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.
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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|