Write the quadratic equation whose roots are −4 and 3, and whose leading coefficient is 5.(Use the letter x to represent the variable.)

The quadratic equation can be written in the form of ax^2 + bx + c = 0, where a, b, and c are coefficients, and a ≠ 0.

Given that the roots are -4 and 3, and the leading coefficient (a) is 5, we can use the fact that the sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

1. The sum of the roots is -4 + 3 = -1. So, -b/a = -1. Since a = 5, we can solve for b to get b = 5.

2. The product of the roots is -4 * 3 = -12. So, c/a = -12. Since a = 5, we can solve for c to get c = -60.

Therefore, the quadratic equation is 5x^2 + 5x - 60 = 0.