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January 26, 2015

January 26, 2015

Posted by **George** on Wednesday, December 31, 2008 at 5:40pm.

169x^3-1690x^2-9x+90; x-10

- Math -
**drwls**, Wednesday, December 31, 2008 at 6:07pmThis is an exercise in polynomial long division. Divide 169x^3 -1690x^2 -9x +90 by x-10 to get the quotient, which is 169 x^2 - 9. That happens to be the difference of the squares of 13x and 3. So it is possible to factor the quotient one more time.

If you need to review polynomial long division, see

http://www.sosmath.com/algebra/factor/fac01/fac01.html

This division turns out to be an easy one, with no remainder.

- Math -
**George**, Wednesday, December 31, 2008 at 6:17pmThanks!

- Math -
**drwls**, Thursday, January 1, 2009 at 5:51amThe complete answer is

169x^3 - 1690x^2 - 9x + 90

= (x-10)(13x + 3)(13x - 3)

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