# How do you factor #r^3 - 2r^2 - 5r + 6 = 0#?

##### 1 Answer

Oct 10, 2015

#### Answer:

#### Explanation:

Using the rational root theorem, you can deduce that the possible roots of the function are

Now, just plug in some of the possible roots into the equation to see if it equals

Now that we have determined a root of the original equation, we can use synthetic division to divide the polynomial by the binomial

Now it is simply factoring quadratic equation. When we factor, we get

Combining these roots with our roots determined earlier, we can get the full answer as