https://file.aiquickdraw.com/mathbot/file/1726534131602wljdmauy.jpg

The expression to be factored is:

\[
8x^3 + 3x
\]

### Step 1: Identify the Greatest Common Factor (GCF)
Both terms, \(8x^3\) and \(3x\), have a common factor of \(x\). So, we can factor out \(x\) from both terms.

\[
x(8x^2 + 3)
\]

### Final Factored Form:
\[
x(8x^2 + 3)
\]

This is the completely factored form of the expression.

Would you like further clarification or additional details on the factoring process? 

Here are five related questions to expand your understanding:
1. How do you find the greatest common factor (GCF) in a polynomial?
2. Can you factor the quadratic expression \(8x^2 + 3\) any further?
3. What is the difference between factoring completely and partially?
4. How do you check if your factorization is correct?
5. What is the importance of factoring in solving equations?

**Tip:** Always begin by factoring out the greatest common factor (GCF) before attempting other factoring methods!

Factor the expression completely: 8x^3 + 3x

Learn how to factor the polynomial 8x^3 + 3x step by step, focusing on finding the greatest common factor (GCF) to simplify the expression. Suitable for Grades 8-10 students learning algebra and polynomial factoring.

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