Question 1087994
<pre><b>
{{{27x^4+27x^3-6x^2-2x+1=0}}}

That doesn't factor, because none of the 8 potential "P/Q" roots work:

±1, ±1/3, ±1/9, ±/27

So the only way to approximate the irrational roots is with
a TI-calculator

x &#8776; -1.113001292
x &#8776; -0.3769893968

The approximations for the two conjugate complex roots are 

x &#8776; 0.24499534428 ± 0.1680682506i

Are you sure you didn't make a mistake in copying one of the
coefficients or signs?

Edwin</pre></b>