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)