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i need to factor completely 3x^3+4x^2-13x+6

the roots of the equation are 1,-3,and 2/3

 Sep 21, 2016
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Factor the following:
3 x^3+4 x^2-13 x+6

The possible rational roots of 3 x^3+4 x^2-13 x+6 are x = ±1/3, x = ±2/3, x = ±1, x = ±2, x = ±3, x = ±6. Of these, x = 2/3, x = 1 and x = -3 are roots. This gives 3 x-2, x-1 and x+3 as all factors:
Answer: |(3 x-2) (x-1) (x+3)

 Sep 21, 2016

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