Write the quadratic equation whose roots are 4 and -6, and whose leading coefficient is 3.
(use the letter x to represent the variable.)

f(x) = 3x² + 6x - 72

Step-by-step explanation:

We have to write a quadratic equation of variable x whose roots are 4 and - 6 and whose leading coefficient is 3.  

Therefore, the quadratic equation will have (x - 4) and (x + 6) as the two factors and the equation will be given by  

f(x) = 3(x - 4)(x + 6)

⇒ f(x) = 3(x² + 2x - 24)

⇒ f(x) = 3x² + 6x - 72 (Answer)