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Barrelracing

  • one year ago

Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

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  1. Barrelracing
    • one year ago
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    @Michele_Laino

  2. Michele_Laino
    • one year ago
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    a polynomial function, of degree \(n\), is given by the subsequent polynomial: \[f\left( x \right) = {a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + ... + {a_2}{x^2} + {a_1}x + {a_0}\] for some coefficients \(a_0,a_1,a_2,...,a_n\), being \(n\) a natural number

  3. Barrelracing
    • one year ago
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    ok

  4. Michele_Laino
    • one year ago
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    in other words, a polynomial function can be created making multiplication between powers of the unknown \(x\) with corresponding real coefficients, and then summing those products

  5. Barrelracing
    • one year ago
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    so what do i do? im confused. on how to find her winning answer

  6. Michele_Laino
    • one year ago
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    the key features are: 1) powers of the unknown \(x\) using natural numbers as exponent 2) multiplication of each power, obtained in the preceding step, with a real coefficient 3) sum all of the so obtained terms (in steps #1, and #2)

  7. Barrelracing
    • one year ago
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    so thats part of the answer?

  8. Michele_Laino
    • one year ago
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    I think that it is the winning answer

  9. Barrelracing
    • one year ago
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    ok thank you

  10. Michele_Laino
    • one year ago
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    :)

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