Factorised-the-polynom-z-4-1-be-polynom-with-lower-degree-but-have-real-coefficient-

Question Number 55070 by gunawan last updated on 17/Feb/19

Factorised the polynom z^{4} + 1

be polynom with lower degree,

but have real coefficient

Commented by mr W last updated on 17/Feb/19

z^{4} + 1 = {(z^{2} + 1)}^{2} - {(\sqrt{2} z)}^{2}

= (z^{2} + \sqrt{2} z + 1) (z^{2} - \sqrt{2} z + 1)

Facebook Tweet Pin