document.write( "Question 580852: Factor 1+x+x^2+x^3+x^4+x^5 as far as possible using only polynomials with integer coefficients. Show all work and explain how you got your answer. \n" ); document.write( "

Algebra.Com's Answer #371455 by KMST(5399) $\"\"$ $\"About$

You can put this solution on YOUR website!
The only way I can think of factoring it is:
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\n" ); document.write( "and there is no further factoring because the quadratic polynomials have no zeros:
\n" ); document.write( " $\"x%5E2%2Bx%2B1%3Ex%5E2%2Bx%2B1%2F4=%28x%2B1%2F2%29%5E2%3E=0\"$ and
\n" ); document.write( " $\"x%5E2-x%2B1%3Ex%5E2-x%2B1%2F4=%28x-1%2F2%29%5E2%3E=0\"$ \n" ); document.write( "

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