What is the rational roots of 4x^3+9x^2-x+10=0

Mathematics

1 answer:

almond37 [142]2 years ago

3 0

9514 1404 393

Answer:

±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

Step-by-step explanation:

The <em>rational root theorem</em> 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.

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