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How to write a quartic polynomial functions in standard forms with given zeros?

x = -1, -2, -3, -4

2 Answers

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  • iceman
    Lv 7
    10 years ago
    Favorite Answer

    (x + 1)(x + 2)(x + 3)(x + 4)

    = (x^2 + 5x)^2 + 10 (x^2 + 5x) + 24

  • Anonymous
    5 years ago

    so a ways as i understand any polynom P with roots r1,r2,r3 and r4 may well be written P=(x-r1)(x-r2)(x-r3)(x-r4) With the given roots we get P=(x-a million)(x+a million)(x-isqrt3)(x+isqrt3) P=(x^2-a million)(x^2-(-3)) P=(x^2-a million)(x^2+3) P=x^4+3x^2-x^2-3 P=x^4+2x^2-3. this is my answer.

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