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which binomial expressions are factors of 2x3+5x2-x-6?

 Oct 19, 2018
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Factor the following:
2 x^3 + 5 x^2 - x - 6

The possible rational roots of 2 x^3 + 5 x^2 - x - 6 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 2, x = ± 3, x = ± 6. Of these, x = -3/2, x = 1 and x = -2 are roots. This gives 2 x + 3, x - 1 and x + 2 as all factors:


 =(2 x + 3) (x - 1) (x + 2)

 Oct 19, 2018

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