document.write( "Question 44804This question is from textbook functions and change
\n" ); document.write( ": The questions states to find all integral solutions for the polynomial equation:\r
\n" ); document.write( "\n" ); document.write( " x^4+x^3+x+1\r
\n" ); document.write( "\n" ); document.write( "I started out factoring by grouping which gives me x^3(x+1)+(x+1)..but I am totally stumped on what the solutions are.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance for your help
\n" ); document.write( "T Taylor \n" ); document.write( "
Algebra.Com's Answer #29681 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x^4+x^3+x+1 \r
\n" ); document.write( "\n" ); document.write( "If you substitute x=-1 you get zero.
\n" ); document.write( "So -1 is a solution.
\n" ); document.write( "Divide by x+1 to get x^3+1
\n" ); document.write( "This also has a zero of -1
\n" ); document.write( "The remaining factor is x^2-x+1
\n" ); document.write( "Use the quadratic formula if you want but
\n" ); document.write( "you won't find any other integer solutions.\r
\n" ); document.write( "\n" ); document.write( "So the interger solutions are -1 with multiplicity two.\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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