# How do you use the Rational Root Theorem to find all the roots of #2x^3 – x^2 + 10x – 5 = 0 #?

##### 1 Answer

#### Answer:

The only Real root is

Additional Complex roots

#### Explanation:

For the equation

any rational roots that exist must be in the set:

Using synthetic substitution with these candidate values:

We find the only rational root is

and that

The

but if