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BartSMP [9]
3 years ago
9

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

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

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)

<u>Final answer</u>:-

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

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