1. **State the problem:** Factor the expression $$8s^2 + 4s$$. 2. **Identify the common factor:** Look for the greatest common factor (GCF) of the terms $$8s^2$$ and $$4s$$. 3. **Find the GCF:** - The coefficients are 8 and 4; the GCF of 8 and 4 is 4. - The variable parts are $$s^2$$ and $$s$$; the GCF is $$s$$ (the lowest power). 4. **Write the GCF:** $$4s$$. 5. **Factor out the GCF:** $$8s^2 + 4s = 4s(\cancel{\frac{8s^2}{4s}} + \cancel{\frac{4s}{4s}}) = 4s(2s + 1)$$. 6. **Final answer:** $$8s^2 + 4s = 4s(2s + 1)$$. This means option A is correct with the factorization $$4s(2s + 1)$$.