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toadytica305

  • 2 years ago

List all the real and imaginary zeros of f(x) = x^3+x^2+ 13x - 15... 1 is a zero of the function

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  1. satellite73
    • 2 years ago
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    all possible rational roost are number of the form \(\frac{p}{q}\) where \(p\) divides the constant ( in your case 15) and \(q\) divides the leading coefficient, in your case 1

  2. satellite73
    • 2 years ago
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    so the possibilites are \[\pm1,\pm3,\pm5,\pm15\]

  3. satellite73
    • 2 years ago
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    since you know 1 is a zero, you can factor it as \[(x-1)(\text{something})\] and you can find the something by dividing, by synthetic division or by thinking

  4. toadytica305
    • 2 years ago
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    and to find all real and imaginary zeros

  5. satellite73
    • 2 years ago
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    in this case you get \[(x-1) (x^2+2 x+15)\] and the second part you can find the zeros using the quadratic formula they are complex

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