6x4-5t3-200t-163000

how do you factor this

it cant be done by common factor or decomposition method..help!!

2 answers

To make sure the polynomial can be factored at all, I "cheated" and used this site:
http://firstyear.chem.usyd.edu.au/calculators/quartic.shtml

It cannot be factored into monomials with real rational constants.

The four roots of
6x^4-5t^3-200t-163000 = 0
are
13.10, -12.59
and
0.1577 +/- 12.83i

Approximate factors are:
6(x-13.10)(x+12.59)(x -0.1577 -12.83i)(x-0.1577 +12.83i)
5x^2-35+60