Introductory Algebra for College Students (7th Edition)

$$3x^3 - 2x + 6$$
Taking a look at the numerator of this rational expression, we see that the factor $6x$ is common to all three terms, so $6x$ is called the greatest common factor. We can simplify this expression by factoring out the greatest common factor to get: $$\frac{6x(3x^3 - 2x + 6)}{6x}$$ Since we have $6x$ in both the numerator and denominator, they cancel each other out. We now have: $$3x^3 - 2x + 6$$