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I know the AC method but that only works with 3 variables (I think that’s the word)

This has four
Someone please help
Thank you

I know the AC method but that only works with 3 variables (I think that’s the word-example-1

1 Answer

5 votes

You can do this by grouping:


3x^3+9x^2-2x-6=3x^2(x+3)-2(x+3)=(3x^2-2)(x+3)

You could continue to factor
3x^2-2=(\sqrt3\,x)^2-(\sqrt2)^2 as a difference of squares so that


3x^3+9x^2-2x-6=(\sqrt3\,x+\sqrt 2)(\sqrt3\,x-\sqrt2)(x+3)


3x^3+9x^2-2x-6=3\left(x+√(\frac23)\right)\left(x-√(\frac23)\right)(x+3)

User Wayne Molina
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