Question

Can anyone help me facto this so that I can find the root?
Please factor 2x^3+6x^2-2x-6.......
steps would great. For some reason I am struggling with factoring anything that I can't evenly pull from

Answer 1

Factor by grouping to get...

2x^3+6x^2-2x-6


(2x^3+6x^2)+(-2x-6)


2x^2(x+3)+(-2x-6)


2x^2(x+3)-2(x+3)


(2x^2-2)(x+3)


2(x^2-1)(x+3)


2(x^2-1^2)(x+3)


2(x-1)(x+1)(x+3) ... use the difference of squares rule here

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So 2x^3+6x^2-2x-6 factors to 2(x-1)(x+1)(x+3)

Answer 2

oh thank you! I don't know why I can't get grouping in my dang head!!! you're great

Answer 3

With more practice,you'll get better at it. So just keep practicing.