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Hermeezey

  • 4 years ago

Saw this today and realized I didn't know how to solve it: A polynomial with nonnegative integer coefficients has P(0) = 3, P(1) = 8, P(2) = 39, and P(3) = 144. Find P(-2)

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  1. cathyangs
    • 4 years ago
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    hm...does it tell you what type of polynomial it is?

  2. cathyangs
    • 4 years ago
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    *meaning what the greatest power is.

  3. Hermeezey
    • 4 years ago
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    nope, that was all that the problem had. I deduced it must be degree 4 or less, given p(1) = 8 and p(2) = 39 and all the coefficients have to be positive.

  4. cathyangs
    • 4 years ago
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    AHAH! :D I believe it's 8x^3-11x^2+8x+3 :)

  5. cathyangs
    • 4 years ago
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    ...well was my math right? Or should I check?

  6. cathyangs
    • 4 years ago
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    ...*dramatic pause* *decides to check math.*

  7. Hermeezey
    • 4 years ago
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    haha you wanna show me your work? i know its a lot to type though.

  8. cathyangs
    • 4 years ago
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    +_+ can I just explain it?

  9. Hermeezey
    • 4 years ago
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    oh wait its non-negative coeffecients -11x^2 is a negative coeffecient :(

  10. cathyangs
    • 4 years ago
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    X.X.

  11. cathyangs
    • 4 years ago
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    I don't see another way that works.

  12. Hermeezey
    • 4 years ago
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    haha its ok.

  13. cathyangs
    • 4 years ago
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    sorry T.T I'll give this to my teacher.

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