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 January 6th, 2014, 10:47 AM #1 Senior Member   Joined: May 2012 Posts: 205 Thanks: 5 factor Hello, can someone show me steps to factor: 2x^3 -9x^2 -11x +30 Thank you.
 January 6th, 2014, 11:32 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: factor Can you use the rational roots theorem to find a rational root, and then use division to obtain a linear and quadratic factor?
 January 6th, 2014, 01:06 PM #3 Senior Member   Joined: May 2012 Posts: 205 Thanks: 5 Re: factor yes. wish there was an easier way
January 6th, 2014, 03:09 PM   #4
Senior Member

Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
Re: factor

Quote:
 Originally Posted by Kinroh yes. wish there was an easier way
Well, you could write:

2x^3 -9x^2 -11x +30 = 2x^3 -10x^2 + x^2 - 5x -6x +30 = 2x^2(x - 5) + x(x - 5) - 6(x - 5) = (x - 5)(2x^2 + x - 6) = (x - 5)(2x - 3)(x + 2)

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