The quadratic x^2 + px + 24 = 0 has roots -6 and -4. 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 -6 and -4, so their sum is -6 + -4 = -10. Since sum = -p, we have -p = -10, which gives p = 10. The product -6×-4 = 24 also matches the constant term, so the roots are consistent. Therefore the correct answer is 10.
