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how do i factor 2x^3 -9x^2 +2x+3?

help please. i tried using the p/q method, but when i graphed it the roots were all fractions.

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Brad M. | Professional Tutor: STEM plus Business, Accounting, and InvestmentProfessional Tutor: STEM plus Business,...
4.9 4.9 (219 lesson ratings) (219)
Hey Elizabeth -- if 2x^3 -9x^2 -2x +3, then 1/2 is a root ... divide by 2x-1 to get quadratic :)


If 2x^3 +9x^2 +2x +3, then -3/2 looks good ... divide by 2x+3 to get quad ...
If 2x^3 -9x^2 +2x -3, then x= 3/2 and (2x-3) fits to factor ... Best wishes :)
Andre W. | Friendly tutor for ALL math and physics coursesFriendly tutor for ALL math and physics ...
5.0 5.0 (3 lesson ratings) (3)
Are you sure your coefficients are correct?
This polynomial does not factor in an obvious way. The exact solution requires use of the so-called cubic formula, which involves complex numbers. The three roots are irrational numbers and can be approximated numerically. You get
x1≈-0.458, x2≈0.784, x3≈4.174