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allison_

  • one year ago

Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x^4 - 45x^2 - 196

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  1. whpalmer4
    • one year ago
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    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.

  2. precal
    • one year ago
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    |dw:1359424829774:dw|7 is a zero

  3. precal
    • one year ago
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    |dw:1359424892177:dw|

  4. precal
    • one year ago
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    -7 is the second zero

  5. precal
    • one year ago
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    |dw:1359424935901:dw|

  6. precal
    • one year ago
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    |dw:1359425047885:dw|

  7. precal
    • one year ago
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    ok found my mistake (-2i)(98i) is +196 and there is my missing zero

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