cfrith7
cfrith7 cfrith7
  • 02-12-2017
  • Mathematics
contestada

Factor the expression completely over the complex numbers. y^4+12y^2+36

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Paounn
Paounn Paounn
  • 02-12-2017
You can write it as (y²)² +12(y²)+36. It's easy to notice it's y[tex](y^2+6)[/tex] squared. Since you want to consider complex factors as well, you can see +6 as [tex] (i \sqrt{6})^2  [/tex]. Your Expression becomes [tex][(y+i \sqrt6)(y-i\sqrt6)]^2[/tex]


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