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22 December, 10:13

Find a polynomial of degree n that has the given zeros. (There are many correct answers.)

zeroes: x=-1,5,7

degree: n=3

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Answers (1)
  1. 22 December, 10:39
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    (x + 1) * (x 5) * (x - 7) =

    = (x² - 5 x + x - 5) * (x - 7) =

    = (x² - 4 x - 5) * (x - 7) =

    = x³ - 7 x² - 4 x² + 28 x - 5 x + 35

    Answer:

    P (x) = x³ - 11 x² + 23 x + 35
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