(adsbygoogle = window.adsbygoogle || []).push({}); Factoring a 4th order polynomial

1. The problem statement, all variables and given/known data

Example:

[itex](jw)^{3}+6(jw)^{2}+5jw+30=0[/itex] can be re-written into [itex]6(5-w^{2})+jw(5-w^{2})[/itex]. The fact that there are two identical [itex](5-w^{2})[/itex] is a desirable outcome. Imaginary number [itex]j=\sqrt{-1}[/itex] becomes -1 when raised to the power of 2.

2. Relevant equations

The problem is to transform [itex] (jw)^{4}+7(jw)^{3}+59(jw)^2+98(jw)+630=0 [/itex] in a similar manner.

3. The attempt at a solution

So far I have been unsuccessful.

[itex]w^{4}-7jw^{3}-59w^{2}+98jw+630=0[/itex]

[itex](w^{4}-59w^{2})+7(-jw^{3}+14jw+90)=0[/itex]

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# Homework Help: Factoring a 3rd order polynomial

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