Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. $$ 40 x^{3}+8 x $$

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To factor out the greatest common factor (GCF) from the polynomial $$40x^{3} + 8x$$:

1. **Find the GCF of the coefficients:**
   - The coefficients are 40 and 8.
   - The GCF of 40 and 8 is **8**.

2. **Find the GCF of the variable terms:**
   - Both terms have at least $$x$$.
   - The GCF for the variable is **$$x$$**.

3. **Factor out the GCF:**
   - The overall GCF is $$8x$$.
   - Divide each term by $$8x$$:
     $$
     \frac{40x^{3}}{8x} = 5x^{2} \quad \text{and} \quad \frac{8x}{8x} = 1
     $$
   - So, the factored form is:
     $$
     8x(5x^{2} + 1)
     $$

**Final Answer:**
$$
8x\left(5x^{2} + 1\right)
$$
The factored form of $$40x^{3} + 8x$$ is $$8x(5x^{2} + 1)$$.

Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \[ 40 x^{3}+8 x \]

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