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anonymous

  • 5 years ago

What are the possible rational zeros of f(x) = x4 + 6x3 – 3x2 + 17x – 15? Help me please

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  1. amistre64
    • 5 years ago
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    the rational roots test might be applicable

  2. amistre64
    • 5 years ago
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    \[\pm\frac{factors.of.15}{factors.of.1}\] since the last term is 15 and the first term is 1

  3. anonymous
    • 5 years ago
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    would there be anything for the x? would it just be zero? bc thts the one thts confusing me

  4. amistre64
    • 5 years ago
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    the actual values that will zero this out can get complicated; the question is just asking what possible values there could be to test

  5. amistre64
    • 5 years ago
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    we know that whatever the actual zeros are, they have to multiply to get 15 and 1

  6. anonymous
    • 5 years ago
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    so wouldn't it be ± 1, ± 3, ± 5, ± 15?

  7. amistre64
    • 5 years ago
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    so, 15 factors into 1,3,5,15 and 1 factors into 1 which is trivial \[\pm{1,3,5,15}\]are our possible zeros to test out if need be

  8. amistre64
    • 5 years ago
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    thats correct

  9. anonymous
    • 5 years ago
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    okay thank you!!!

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