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Real Roots Of 4 term polynomial that equates to 0? watch

1. No that's all good. I've just realised that you and Worzo were saying slightly different things. They will always be factors in that sense yes...but I was just clarifying that only checking the integer factors isn't good enough in general.

EDIT: Infact, although it's not particularly grand, it is a well known result, so it's pretty cool that you came up with it innocently.
2. Going a bit further, we can actually reach the "rational roots theorem."

http://en.wikipedia.org/wiki/Rational_root_theorem
3. Oh OK - that makes sense. Should have spotted that! Nice.
4. (Original post by Spenceman_)
but I was just clarifying that only checking the integer factors isn't good enough in general.
If the coefficent of the highest power term is 1 and you've got integer coefficents elsewhere, you'll get integer roots (for elaboration see DVS's link). True, if you were doing something related to the real work for a project you dont' get such nice polynomials but for GCSE and A Level you'll always be given nice ones.

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Updated: April 6, 2006
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