Respuesta :

Answer:

The quadratic equation is  [tex]( 3x^{2} +6x -72)[/tex]

Step-by-step 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) = [tex]3( x^{2} -4x +6x-24)[/tex]

The quadratic equation is [tex]3( x^{2} +2 x -24)[/tex]

Final answer:-

The quadratic equation is  [tex]( 3x^{2} +6x -72)[/tex]

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