Question

Factor the polynomial as a product of linear factors and a factor g(x) such that g(x) is either a constant or a polynomial that has no rational roots.
x^5-2x^4+2x^3-3x+2

Answer 1

ick cheat
\[(x-1)^2 (x^3+x+2)\]

Answer 2

i guess you are supposed to see that 1 is a zero, then factor, then see that 1 is a zero again, and factor again. i would cheat

Answer 3

what do u mean by cheat?

Answer 4

Further factorization is possible:
(x-1)^2(x+1)(x^2-x+2)

Answer 5

Actually, using your idea, checking with -1.