SOLUTION: 2x^3-5x+4=0 can you please explain to me step by step how to use the rational root theorem for the equation and then find any actual rational roots ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 2x^3-5x+4=0 can you please explain to me step by step how to use the rational root theorem for the equation and then find any actual rational roots ?       Log On


   

Question 595295: 2x^3-5x+4=0

can you please explain to me step by step how to use the rational root theorem for the equation and then find any actual rational roots ?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The possible rational roots are



where p is a factor of 4 and q is a factor of 2. Hence, the only possible rational roots are +/- 4, 2, 1, 1/2, 1/4. None of these work, so there are no rational roots.

Turns out that the only real root is x = -1.8868...