- #1

- 106

- 0

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...

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- Thread starter Caldus
- Start date

- #1

- 106

- 0

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

Integral

Staff Emeritus

Science Advisor

Gold Member

- 7,212

- 56

Hint: It has no Real zeros.

- #3

- 1,605

- 2

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

- 106

- 0

How can I prove that I have no zeros?

- #5

- 1,605

- 2

that'll be clear once you factor it.

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