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Math Help - polynomial formula help

  1. #1
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    polynomial formula help

    find a possible formula for the polynomial if it has zeros at x=-6, x=7, and vertical asymtopes at x=-11and x=17. It has a horizontal asymptope of y=8. Enter the numerator and denominator in factored form.

    my answer was (-.028)(x+6)(x+17)/(x+11)(x-17)

    is this right
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  2. #2
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    Hello, asweet1!

    Find a possible formula for the polynomial if it has zeros at x=-6,\; x=7,
    and vertical asymtopes at x=-11\text{ and }x=17.
    It has a horizontal asymptope of y=8.
    Enter the numerator and denominator in factored form.

    my answer was (-.028)(x+6)(x+17)/(x+11)(x-17)

    is this right? . . . . Sorry, no

    Zeros at x = -6,\:x = 7
    . . Factors of (x+6)\text{ and }(x-7) in the numerator.

    Vertical asymptotes x = -11\text{ and }x = 17
    . . Factors of (x+11)\text{ and }(x-17) in the denominator.

    Horizontal asymptote y = 8
    . . We want: . \lim_{x\to\infty} f(x) \:=\:8


    One solution is: . f(x) \;=\;\frac{8(x+6)(x-7)}{(x+11)(x-17)}

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