Answer: 3x^2 + 9x - 30 = 0
Step-by-step explanation: Lets lay this out.
The quadratic equation with roots x1 and x2 and leading coefficient a is given by:
ax^2 - a(x1 + x2)x + a x1 x2 = 0
In this case, the roots are x1 = 2 and x2 = -5, and the leading coefficient is a = 3. Substituting these values, the equation becomes:
3x^2 - 3(2 - 5)x + 3(2)(-5) = 0
Simplifying further:
3x^2 + 9x - 30 = 0
So, the quadratic equation with roots 2 and -5, and leading coefficient 3, is 3x^2 + 9x - 30 = 0.