Question

Using the Rational Root Theorem, state all the possible rational roots for the function.

Then, solve the function using synthetic division to check and find the actual roots of the function. Show your work.

f(x) = 2x^2+3x+1


A. Possible roots: ±1, ±2, ±3
Actual roots: x = 1 or x = -2

B. Possible roots: ±2, ±1
Actual roots: x = 1 or x = 2

C. Possible roots: ±1, ±1/3
Actual roots: x = -1 or x = 1/3

D. Possible roots: ±1/2, ±1
Actual roots: x = -1 or x = -1/2