anonymous
  • anonymous
ALGEBRA!! Factor completely over the complex numbers. x^4+18x^2+81 Any idea how the final answer looked like? (x^2+9)(x^2+9)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Guys help! @ganeshie8 @Nnesha @Michele_Laino
anonymous
  • anonymous
@Luigi0210 @sammixboo @welshfella :D
welshfella
  • welshfella
yea that's correct

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welshfella
  • welshfella
oh you need it over complex numbers
anonymous
  • anonymous
Yep maybe (x^2+9i)^2 (x^2+9i)^2 ?
welshfella
  • welshfella
fill in the blanks x^2 + 9 = (x 3i)(x 3i) ?
anonymous
  • anonymous
(x^2+3i)(x^2+3i) ?
welshfella
  • welshfella
what signs go in the parentheses?
anonymous
  • anonymous
Both positives
welshfella
  • welshfella
no and its x not x^2
welshfella
  • welshfella
x^2 + 9 = (x + 3i)(x - 3i)
anonymous
  • anonymous
Oh i get it
anonymous
  • anonymous
x^4+18x^2+81 this is the that will be factored over the complex numbers
welshfella
  • welshfella
so complete factors are (x + 3i)(x - 3i)(x + 3i)(x - 3i))
anonymous
  • anonymous
Is that the same with (x+3i)^2(x-3i)^2 ??
welshfella
  • welshfella
yes you can write it that way
welshfella
  • welshfella
are you happy about multiplying these imaginary numbers? -3i * + 3i = -9 * i^2 = -9 * - 1 = +9 because i^2 = -1
anonymous
  • anonymous
|dw:1440088856517:dw|
anonymous
  • anonymous
Looks like this?
1 Attachment
anonymous
  • anonymous
@welshfella
welshfella
  • welshfella
- where did you get that from? its not x^2 it is x
welshfella
  • welshfella
If you expanded that the first term would be x^8 not x^4
anonymous
  • anonymous
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welshfella
  • welshfella
thats it
anonymous
  • anonymous
Thanks! :)
welshfella
  • welshfella
yw
anonymous
  • anonymous
Reasons why i love openstudy, and @welshfella Hahahaha
anonymous
  • anonymous
If i can give you 1000 medals I will

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