# I hope this is the right area for this question

• June 25th 2006, 07:31 AM
kwtolley
I hope this is the right area for this question
Find a polynomial with leading coefficient 1 and degee 3 that has -1,1,and 3 as roots. My answer after working it out was x^3-3x^2+x-3, I would like to know if that is right. Thanks for looking it over.
• June 25th 2006, 08:54 AM
ThePerfectHacker
Quote:

Originally Posted by kwtolley
Find a polynomial with leading coefficient 1 and degee 3 that has -1,1,and 3 as roots. My answer after working it out was x^3-3x^2+x-3, I would like to know if that is right. Thanks for looking it over.

Well,
$(x-1)(x+1)(x-3)$
Factor everything,
$(x^2-1)(x-3)$
One more time,
$x^3-x-3x^2+3=0$
• June 26th 2006, 08:23 PM
kwtolley