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Solve the quartic:

x^{4} − 4x^{3} + 11x^{2} +2x − 44

can you please show the working method step by step.

Yousif.m Sep 12, 2018

#1**+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.

Rom Sep 12, 2018