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Sagot :
Answer:
[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]
Step-by-step explanation:
Since the roots are -4 and 5, we can write that as
[tex](x + 4)(x - 5)[/tex]
Apply foil method to find our denominator.
We get
[tex] {x}^{2} - x - 20[/tex]
So that our denominator.
Since our denomiater gives us interger asymptote, our degree in our numerator must be 1 so the answer has to be a single interger or a single term.
Since our x intercepts is -2, we use
[tex](x + 2)[/tex]
So our rational denomiater is
[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]
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