I have the equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex] f''(t) = 0 =\frac{\ -6t-4t^4+2t^5}{(1+2t)^4} [/tex]

which I factored to

[tex] 0 =\frac{ (2t)(-3-2t^3+t^4)}{(1+2t)^4} [/tex]

and set

[tex] 2t = 0 [/tex] or [tex] t^4-2t^3-3 = 0 [/tex]

How am I supposed to factor the second possibility for t? Using guess-and-check (:yuck:) with 0, 1, and -1, I found that t is probably a fraction between -1 and 1. And now I'm stuck for real, because no way am I guess-and-checking random fractions.

Help, please!

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# Factoring a 4th degree polynomial

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