Question

Write the quadratic equation whose roots are −6 and 4, and whose leading coefficient is 3.

Answer 1

The quadratic equation is
`( 3x^(2) +6x -72)`

Explanation:

The quadratic equation form f(x) = a ( x- α) (x-β)

The roots are −6 and 4 and whose leading coefficient is 3.

the quadratic equation is f(x) = 3 ( x- (-6)) (x-4) =
`3( x^(2) -4x +6x-24)`

The quadratic equation is
`3( x^(2) +2 x -24)`

Final answer:-

The quadratic equation is
`( 3x^(2) +6x -72)`