Question

Which of the following represents the set of possible rational roots for the polynomial shown below?
2x^3+5x^2-8x-20=0
A. (+-1, +-2, +-4, +-5, +-10,+-20)
B. (+- 2/5, +- 1/2, +-1, +-2, +- 2/5, +- 1/5, +-1/10)
C. (+- 1/2, +-1,+-2, +- 5/2, +-4, +-5, +-10, +-20)
D. (1/2, 1, 2, 2/5, 4, 5, 10, 20)

Answer 1

Well for anyone who comes across this and needs the answer I found it. The answer is C
First: List the factors of the constant term (p) and the factors of the leading coefficient (q)
P(20): 1,2,4,5,10,20 Q(2): 1,2
Next: List all the potential factors of the form p/q (I didn't list the factors over 1 because anything over that number will equal that number) 1/2, 2/2, 4/2, 5/2, 10/2, 20/2
Lastly: List all the reduced values and eliminate repeating ones