The quadratic x^2 + px + -28 = 0 has roots 7 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 7 and -4, so their sum is 7 + -4 = 3. Since sum = -p, we have -p = 3, which gives p = -3. The product 7×-4 = -28 also matches the constant term, so the roots are consistent. Therefore the correct answer is -3.
