You may want to check the question.
The given polynomial has no real roots, and hence no rational/real factors.
See:
http://img62.imageshack.us/img62/1420/1285293974.png
How do you factor
y= -x^4 + x^3 + 3x^2 - 2x - 5
2 answers
I let f(x) = -x^4 + x^3 + 3x^2 - 2x - 5
I tried ±1, and ±5 in f(x) and none produced a zero,
so there are no rational linear factors.
I tried ±1, and ±5 in f(x) and none produced a zero,
so there are no rational linear factors.