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

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:** \[ 8x\left(5x^{2} + 1\right) \]