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katiebugg

  • 3 years ago

Use the Intermediate Value Theorem and synthetic division to determine whether or not the following polynomials have a real zero between the numbers given. P(x) = x3 - 3x2 + 2x - 5; Is there a real zero between 2 and 3?

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  1. katiebugg
    • 3 years ago
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    ima refreshed too lol

  2. ParthKohli
    • 3 years ago
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    Find \(P(2)\) and \(P(3)\) to start with.

  3. ParthKohli
    • 3 years ago
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    Can you do that? To continue, you have to find if 0 is between \(P(2)\) and \(P(3)\).

  4. katiebugg
    • 3 years ago
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    hold on lol

  5. katiebugg
    • 3 years ago
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    is P(2)-5?????

  6. ParthKohli
    • 3 years ago
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    Yes. What about P(3)?

  7. katiebugg
    • 3 years ago
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    1

  8. ParthKohli
    • 3 years ago
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    Right.

  9. katiebugg
    • 3 years ago
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    now what

  10. ParthKohli
    • 3 years ago
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    Is 0 between -5 and 1?

  11. katiebugg
    • 3 years ago
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    yes!

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