Hey guys,

I'm trying to brush up on some factoring skills and I don't know what to do with this one:

$\displaystyle -x^3+2x^2+x-2$

Any advice as to how to approach this kind of problem?

Thanks

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- Nov 21st 2008, 08:17 PMCanadian0469Factoring a quadrinomial
Hey guys,

I'm trying to brush up on some factoring skills and I don't know what to do with this one:

$\displaystyle -x^3+2x^2+x-2$

Any advice as to how to approach this kind of problem?

Thanks - Nov 21st 2008, 08:58 PMSoroban
Hello, Canadian0469!

Quote:

Factor: .$\displaystyle -x^3+2x^2+x-2$

Factor "by grouping": .$\displaystyle -x^2(x-2) + (x-2)$

Factor again: .$\displaystyle (x-2)(-x^2+1) \;=\;(x-2)(1-x^2)$

Factor again: .$\displaystyle (x-2)(1-x)(1+x)$