9514 1404 393
Answer:
±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10
Step-by-step explanation:
The rational root theorem tells you possible rational roots of this equation would be ...
±(divisor of 10)/(divisor of 4)
The divisors of 10 are 1, 2, 5, 10. The divisors of 4 are 1, 2, 4. Then the possible rational roots are ...
±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10
_____
This particular cubic has one irrational real root near -2.689. It has no rational roots.
