Solving x^4 + 2x^2 + x + 2 = 0 - Help Needed!

  • Thread starter Caldus
  • Start date
  • #1
106
0
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...
 
  • #2
Hint: It has no Real zeros.
 
  • #3
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.
 
  • #4
How can I prove that I have no zeros?
 
  • #5
that'll be clear once you factor it.
 

Suggested for: Solving x^4 + 2x^2 + x + 2 = 0 - Help Needed!

Replies
7
Views
672
Replies
4
Views
563
Replies
8
Views
614
Replies
2
Views
499
Replies
3
Views
772
Replies
7
Views
737
Replies
1
Views
717
Replies
2
Views
704
Back
Top