Answer:
E. 16
Step-by-step explanation:
For this, we will use c and d to designate the values for the constant and the leading coefficient. The possible rational roots result from the combination of both the positive and negative values found in c/d.
First, c. c = -12. The factors of 12 are:
±1, ±2, ±3, ±4, ±6, ±12
Now d. d = 2. The factors of 2 are:
±1, ±2
Now to find the total possible rational roots we put c over d to give us:
±1, ±2, ±3, ±4, ±6, ±12, ±1/2, ±3/2
That is 8 values, but since we have to also consider the negatives of each of them, that 8 becomes 16
