Recall that a rational function:

has a vertical asymptote at x₀ if and only if:

Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:

Since the rational function has a double zero at x=2 we get that its numerator must be of the form:

Finally, since the rational function has y-intercept at (0,2) we get that:

Simplifying the above equation we get:

Dividing the above equation by 4 we get:

Therefore, the rational function that satisfies the given conditions is:

Answer:
The numerator is:

The denominator is:
Answer:
if you are lookng for C it is 17
Step-by-step explanation:
Answer:
line B I hope this help!! good luckkk
Answer:
Pasos para resolver una ecuación lineal
3x−2/4−2x+5/3=1−x/6
Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.
36x−3×2−24x+20=12−2x
Multiplica −3 y 2 para obtener −6.
36x−6−24x+20=12−2x
Combina 36x y −24x para obtener 12x.
12x−6+20=12−2x
Suma −6 y 20 para obtener 14.
12x+14=12−2x
Agrega 2x a ambos lados.
12x+14+2x=12
Combina 12x y 2x para obtener 14x.
14x+14=12
Resta 14 en los dos lados.
14x=12−14
Resta 14 de 12 para obtener −2.
14x=−2
Divide los dos lados por 14.
x=
14
−2
Reduzca la fracción
14
−2
a su mínima expresión extrayendo y anulando 2.
x=−
7
1
Step-by-step explanation: