Help Yet Again... [Archive]

Caldus

Oct5-03, 05:08 PM

OK, problem with this equation:

x^4 + 2x^2 + x + 2 = 0

What is/are the solution(s)? I can't figure out how to factor this so that I can find the zeros or whatever...

Integral

Oct5-03, 09:43 PM

Hint: It has no Real zeros.

phoenixthoth

Oct6-03, 01:24 AM

it is possible to factor it over the integers.

suppose you have a polynomial P of degree p. you want to factor it as P = Q R where Q and R are polynomials. consider the different degrees Q and R might have if p = 4 as in your case. this consideration will direct the trials and errors when looking for Q and R.

Caldus

Oct6-03, 10:10 AM

How can I prove that I have no zeros?

phoenixthoth

Oct6-03, 10:39 AM

that'll be clear once you factor it.