Whole number solutions for a polynomial?

Oct 2009
20
0
I forgot the rule for checking to see if a polynomial has any whole numbers solutions? In my case, specifically this cubic equation:

\(\displaystyle B^3 + 2B^2 + 2B + 4\)
 
Oct 2008
1,116
431
\(\displaystyle B^3+2B^2+2B+4=0\)

\(\displaystyle B^2(B+2)+2(B+2)=0\)

\(\displaystyle (B+2)(B^2+2)=0\)

\(\displaystyle B=-2\) is the only solution.
 
Oct 2009
20
0
Thanks, but that's not exactly what I was looking for. I remember being taught a trick that immediately tells you the range of possible whole numbers solutions, but doesn't give you the solution.