Question

Factor completely 8x2 − 4x − 84. 4(2x − 3)(x 7) 4(2x 3)(x − 7) 4(x − 3)(2x 7) 4(x 3)(2x − 7).

Answer 1

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

What will be the factor of the given equation?

Given equation is $8x^{2} -4x-84$

Now taking 2 commons from the equation

$4(2x^{2} -x-21)$

now splitting the equation we get

$4(2x^{2} +6x-7x-21)$

$4(2x(x+3)-7(x+3))$

$4(x+3)(2x-7)$

Thus the factor of the given equation  $8x^{2} -4x-84$ will be  

$4(x+3)(2x-7)$

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