# How do you use the rational root theorem to find the roots of 3x^3 + 3x^2-2x + 15 = 0?

Dec 9, 2015

You can't find rational roots of that equation. It has no rational roots.

#### Explanation:

Using the rational roots theorem, we see that the only possible rational roots of

$3 {x}^{3} + 3 {x}^{2} - 2 x + 15 = 0$

Are $\pm 1 , \pm 3 , \pm 5 , \pm \frac{1}{3} , \pm \frac{5}{3}$

Testing these possibilities we find that none of them are roots.