Posted by **nash** on Sunday, April 29, 2012 at 12:39pm.

Is it possible for a degree-4 polynomial P(x) to have only complex (no real) roots

- algebra -
**Damon**, Sunday, April 29, 2012 at 12:47pm
work backwards from 4 imaginary roots (remember they come in complex conjugate pairs)

(x-i)(x+i)(x-2i)(x+2i) = 0

(x^2+1)(x^2+4)= 0

x^4 + 5 x^2 + 4 = 0

- algebra -
**Anonymous**, Thursday, February 14, 2013 at 7:56pm
Is it possible for a degree-4 polynomial P(x) to have only complex (no real) roots?

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