How can i factor $m^4 + 1 = 0$???

2. Originally Posted by tigergirl
How can i factor $m^4 + 1 = 0$???
Have you had any experience with complex numbers or de Moivre's theorem?

3. If you want to do it with real coefficients, you can't!

But you can write $m^4+ 1= m^4- (-1)= (m^2)^2- (i)^2= (m^2- i)(m^2+ i)$

Now you can think of those as a difference of squares if you know the square roots of i and -i.

4. Originally Posted by tigergirl
How can i factor $m^4 + 1 = 0$???
The left hand side can be factored as two irreducible quadratic factors if you require real factors: $m^4 + 1 = m^4 + 2m^2 + 1 - 2m^2 = (m^2 + 1)^2 - 2m^2 = ....$