9514 1404 393
Answer:
±1, ±2, ±7, ±14
Step-by-step explanation:
The rational root theorem tells you any rational roots will be of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
For this function, that means rational roots will be of the form ...
±(divisor of 14)
Those divisors are 1, 2, 7, 14. Possible rational roots are ...
±1, ±2, ±7, ±14
_____
Additional comment
The graph shows this function has 3 irrational roots.
