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Mathematics 21 Online
OpenStudy (anonymous):

Factor the expression: x3 + 2x2 - 3x - 6

OpenStudy (anonymous):

Please help

OpenStudy (anonymous):

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

jimthompson5910 (jim_thompson5910):

\[\Large x^3 + 2x^2 - 3x - 6\] \[\Large (x^3 + 2x^2) + (-3x - 6)\] \[\Large x^2(x + 2) -3(x + 2)\] \[\Large (x^2-3)(x + 2)\]

OpenStudy (anonymous):

So what would I put down as the answer?

OpenStudy (anonymous):

jim is right

jimthompson5910 (jim_thompson5910):

I would stop at \[\Large (x^2-3)(x + 2)\] instead of keep going to get \[\Large (x-\sqrt{3})(x+\sqrt{3})(x + 2)\] because most books I've seen factor over the rationals

OpenStudy (anonymous):

Thank ya'll :)

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