Answer:
The correct option is A.
Step-by-step explanation:
The question is:
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?
A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12
B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x
C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3
D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48
Solution:
The function given to us is:
3x5 – 2x4 + 9x3 – x2 + 12
Find the factors of 12 and consider it as 'p'
The factors of 12 are:
p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6
Now find the factors of 3 and consider it as 'q'
The factors of 3 are:
q = +/- 1 , +/- 3
We know that we write rational terms in p/q form.
Therefore the Rational roots are given by p/q
+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3
Now we will solve the first function given in part A.
f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12
Again find the factors of 12 and consider it as 'p'
The factors are:
p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6
Now find the factors of 3 and consider it as 'q' .
q = +/- 1 , +/- 3
Rational root are given by p/q
+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3
Therefore the rational roots of the given function matches the rational roots of the given equation.
Hence the correct option is A
to solve for the unknown distance. Plugging in with the park values as our second values and our mall values as our first values (as well as with our unknown distance as d), we get 
. This square root can be rounded to 9.9 miles.