Question

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

Answer 1

Answer:

The quadratic equation is  $( 3x^{2} +6x -72)$

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) = $3( x^{2} -4x +6x-24)$

The quadratic equation is $3( x^{2} +2 x -24)$

Final answer:-

The quadratic equation is  $( 3x^{2} +6x -72)$