Help Yet Again

  • Thread starter Caldus
  • Start date
  • #1
Caldus
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...
 

Answers and Replies

  • #2
Integral
Staff Emeritus
Science Advisor
Gold Member
7,253
63
Hint: It has no Real zeros.
 
  • #3
phoenixthoth
1,605
2
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
Caldus
106
0
How can I prove that I have no zeros?
 
  • #5
phoenixthoth
1,605
2
that'll be clear once you factor it.
 

Suggested for: Help Yet Again

Replies
13
Views
657
  • Last Post
Replies
2
Views
364
MHB Help
  • Last Post
Replies
4
Views
651
  • Last Post
Replies
1
Views
406
  • Last Post
Replies
2
Views
414
MHB Help
  • Last Post
Replies
5
Views
580
MHB Help
  • Last Post
Replies
3
Views
565
  • Last Post
Replies
3
Views
460
  • Last Post
Replies
1
Views
271
Top