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Solve the quartic:

 

x4 − 4x3 + 11x2  +2x − 44

 

can you please show the working method step by step. 

 Sep 12, 2018
 #1
avatar+4471 
+1

I guess the first thing I would do is check for rational roots.

 

\(a_0 = -44,~a_4=1 \\ 44 = 2^2 \cdot 11 \\ \text{so the only possibly rational roots are} \\ \pm 2,~\pm 4,~\pm 11\)

 

checking these we see that none of them are roots and so you are left with going the full bore find the quartic roots method.

 

here is one site that details it... good luck

 

I warn you the roots are exceedingly ugly.  You might check that you don't have better things to do with your time.

 Sep 12, 2018

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