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Math Help - Please help me with me Factoring?

  1. #1
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    Please help me with me Factoring?

    How can i factor  m^4 + 1 = 0 ???
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  2. #2
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    Quote Originally Posted by tigergirl View Post
    How can i factor  m^4 + 1 = 0 ???
    Have you had any experience with complex numbers or de Moivre's theorem?
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  3. #3
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    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.
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  4. #4
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    Quote Originally Posted by tigergirl View Post
    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 = ....
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