Answer:

Step-by-step explanation:
A rational function is

where q(x) doesn't equal zero.
If p is a asymptote, or hole at that value, then we will use

Step 1: We have asymptote as 0 and -1 so our denomiator will include

Which is

So our denomator so far is

Step 2: Find Holes.
Since 12 is the value of the hole,

is a the binomial.
This will be both on the numerator and denomator so qe have

Step 3: Put the x intercepts in the numerator.
Since 5 and -7 is the intercepts,

Step 4: Horinzontal Asymptotes,
Multiply the numerator and denomiator out fully,

Take a L
look at the coefficients,
Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.
Multiply the numerator by 4.

Above is the function,