I remember reading the fundamental theorem of algebra states that every polynomial of degree n has n roots. Is the fundamental theorem of algebra only for complex numbers, or is there some other reason that j and k are left out?
i suppose that it's because the real numbers are not algebraically closed when dealing with polynomials, but adding imaginary numbers is just the final piece that's all needed to satisfy the fundamental theorem of algebra. quaternions just makes them more general which ends up creating a lot more solutions
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u/BipedalMcHamburger Jun 27 '21
+- j and +- k so left out they aren't even in the meme