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.

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

[AI-generated answer — Bot GPT 3.5]

Possible roots: ±1, ±2, ±3

Actual roots: x = 1 or x = -2