anonymous
  • anonymous
Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x^4 - 45x^2 - 196
Mathematics
katieb
  • katieb
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whpalmer4
  • whpalmer4
The imaginary zeros come in conjugate pairs, so -2i and 2i are zeros. To be zeros, they must be part of a (x^2 + a^2) expression, and plugging a = 2i into that gives (x^2 + 4). Now just divide the original polynomial by (x^2+4) and factor what is left.
precal
  • precal
|dw:1359424829774:dw|7 is a zero
precal
  • precal
|dw:1359424892177:dw|

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precal
  • precal
-7 is the second zero
precal
  • precal
|dw:1359424935901:dw|
precal
  • precal
|dw:1359425047885:dw|
precal
  • precal
ok found my mistake (-2i)(98i) is +196 and there is my missing zero

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