Respuesta :

The factor of the given equation  [tex]8x^{2} -4x-84[/tex] will be  [tex]4(x+3)(2x-7)[/tex]

What will be the factor of the given equation?

Given equation is [tex]8x^{2} -4x-84[/tex]

Now taking 2 commons from the equation

[tex]4(2x^{2} -x-21)[/tex]

now splitting the equation we get

[tex]4(2x^{2} +6x-7x-21)[/tex]

[tex]4(2x(x+3)-7(x+3))[/tex]

[tex]4(x+3)(2x-7)[/tex]

Thus the factor of the given equation  [tex]8x^{2} -4x-84[/tex] will be  

[tex]4(x+3)(2x-7)[/tex]

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