1. ## 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.

is this right

2. Hello, asweet1!

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

is this right? . . . . Sorry, no

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

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

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

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