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

1 Answer

Harish Chandra Rajpoot

Jul 27, 2018

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

Explanation:

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)#

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