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The given problem is to factor the polynomial \( 2x^3 - 18x \) or state if it is prime.

### Step 1: Identify the greatest common factor (GCF).
Both terms in the polynomial, \( 2x^3 \) and \( -18x \), have a common factor of \( 2x \). 

### Step 2: Factor out the GCF.
Factor \( 2x \) from both terms:

\[
2x^3 - 18x = 2x(x^2 - 9)
\]

### Step 3: Check if the remaining polynomial can be factored.
The remaining polynomial is \( x^2 - 9 \),

Factor completely, or state that the polynomial is prime: 2x^3 - 18x.

Learn how to factor the polynomial 2x^3 - 18x using the Greatest Common Factor and Difference of Squares techniques. This step-by-step solution covers key algebraic concepts and is suitable for students in Grades 8-10.

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