Question 90666
<pre><font size = 4><b>
Write {{{x^4 - 6x^2 - 27}}} as a product of linear factors 
and quadratic factors that are irreducible over the 
reals.

{{{x^4 - 6x^2 - 27}}} can be factored as

{{{(x^2 - 9)(x^2 + 3)}}}

The first parentheses contains the difference of two
perfect squares and that can be factored over the reals,
as {{{(x-3)(x+3)}}}so we end up with

{{{(x - 3)(x+3)(x^2 + 3)}}}

That's as far as it cvan be factored over the
reals.

Edwin</pre>