Choose the statement that is true about the given quantities.
Selection A:
The number of rational zeros of f(x)=x^3 + 2x^2 - 11x -12.
Selection B:
The number of rational zeros of f(x)=x^3 - 8x^2 +16x +25.
A)The two quantities are equal.
B)The quantity in Selection A is greater.
C)The quantity in Selection B is greater.
D)The relationship cannot be determined from the given information
By the "rational root theorem", any rational root of , m/n, must have m a divisor of and n a divisor of .
In the first equation, and so any rational root must divide -12. What are the divisors of -12? How many of them actually satisfy the equation?
In the second equation, and so any rational root must divide 25. What are the divisors of 25? How many of them actually satisfy the equation?