How do you factor by grouping $2x^3+12x^2-5x-30$ ?

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Answer 1 · 2018-07-27T19:39:16

$(x+6)(\sqrt2x+\sqrt5)(\sqrt2x-\sqrt5)$

Given polynomial:

$2x^3+12x^2-5x-30$

$=2x^2(x+6)-5(x+6)$

$=(x+6)(2x^2-5)$

$=(x+6)((\sqrt2x)^2-(\sqrt5)^2)$

$=(x+6)(\sqrt2x+\sqrt5)(\sqrt2x-\sqrt5)$

How do you factor by grouping 2x^3+12x^2-5x-302x^3+12x^2-5x-30?