Question 595295
The possible rational roots are


*[tex \LARGE \pm \frac{p}{q}]


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...