The quadratic x^2 + px + 24 = 0 has roots 8 and 3. Find p.
Note
Use Vieta's formula for x² + px + q = 0. For this form, the sum of the roots is -p and the product of the roots is q. The given roots are 8 and 3, so their sum is 8 + 3 = 11. Since sum = -p, we have -p = 11, which gives p = -11. The product 8×3 = 24 also matches the constant term, so the roots are consistent. Therefore the correct answer is -11.
