document.write( "Question 268678: why is x2 + 3x + 1 non-factorable?\r
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Algebra.Com's Answer #196878 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2+%2B+3x+%2B+1\"$
\n" ); document.write( "I can try to factor it with quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "where
\n" ); document.write( " $\"a+=+1\"$
\n" ); document.write( " $\"b+=+3\"$
\n" ); document.write( " $\"c+=+1\"$
\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A1+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+9+-+4+%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%285%29%29%2F2+\"$
\n" ); document.write( "solutions are:
\n" ); document.write( " $\"x+=+%28-3+%2B+sqrt%285%29%29%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28-3+-+sqrt%285%29%29%2F2\"$
\n" ); document.write( "If the factors are $\"x+-+a\"$ and $\"x+-+b\"$
\n" ); document.write( "where $\"a\"$ and $\"b\"$ are the roots,
\n" ); document.write( " $\"x+-+%28-3+-+sqrt%285%29%29%2F2\"$ and
\n" ); document.write( " $\"x+-+%28-3+%2B+sqrt%285%29%29%2F2\"$
\n" ); document.write( "are the factors of the equation\r
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