According to the rational root theorem, which of the following values is a possible rational root of the polynomial p(x)=x2+3x+12?

a. 24
b. -1/2
c. -2
d. 1/6
e. 1/2

C. -2

Step-by-step explanation:

Since the leading coefficient is 1 and rational roots are of the form ...

±(divisor of the constant)/(divisor of the leading coefficient)

all of the possible rational roots must be whole number diviors of 12. The only one on the list is -2.