# How do you use the rational root theorem to find the roots of #3x^3 - kx^2 - 16x + 12 = 0#?

##### 1 Answer

Without knowing the value of

#### Explanation:

The rational root theorem identifies all **candidate** rational polynomial roots (I found 18 candidates for this example) **but** without knowing the value of

[Perhaps

**Rational Root Theorem**

every rational solution is within the set

For the given equation the candidates for rational solutions are

The only way to determine which of these candidates are valid is by evaluating the polynomial for each candidate value to see if the result is