SOLUTION: Factor completely 2x^4 + x^3 - x^2 -x

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Question 367535: Factor completely 2x^4 + x^3 - x^2 -x
Answer by Jk22(389)   (Show Source): You can put this solution on YOUR website!





the polynomial inside is factorizable over R :

2x^3 +






let : , we get in the parenthesis :




writing ,



we get :



the latter gives : , if substituted in the equation before :

times


with 2nd degree we find :


and

with


hence the solution is

where 2 roots are identical.

we can write the polynomial as : 2x(x-x[++])(x-x[+-])(x-x[--])

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