1. **Problem:** Divide the polynomial $24x^2 + 16x$ by $4x$. 2. **Formula:** When dividing polynomials, divide each term of the numerator by the denominator. 3. **Step-by-step:** $$\frac{24x^2}{4x} + \frac{16x}{4x}$$ Simplify each term: $$\frac{24}{4} \cdot \frac{x^2}{x} + \frac{16}{4} \cdot \frac{x}{x}$$ $$6x + 4$$ 4. **Answer:** $$6x + 4$$ This method applies similarly to all polynomial division problems where the divisor is a monomial. q_count is 12 because there are 12 problems, but only the first is solved here as per instructions.