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

Question

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

f(x)=2x2+3x+1
(1 point)
Responses

Possible roots: ±1, ±2, ±3
Actual roots: x = 1 or x=−2
Possible roots: ±1, ±2, ±3
Actual roots: x = 1 or x=−2

Possible roots: ±1, ±13
Actual roots: x = −1 or x=13
Possible roots: ±1, ±13
Actual roots: x = −1 or x=13

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

Possible roots: ±12, ±1
Actual roots: x =−1 or x=−12

Answer 1

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