document.write( "Question 1190368: How do I factor x^3-4x^2+x+6 to find out the solutions?\r
\n" ); document.write( "\n" ); document.write( "I was given that x=-2 is one of the solutions.\r
\n" ); document.write( "\n" ); document.write( "The factoring is what is giving me trouble. \n" ); document.write( "

Algebra.Com's Answer #821993 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
You want the roots or the zeros?
\n" ); document.write( "x^3-4x^2+x+6
\n" ); document.write( "x^3+x-4x^2+6
\n" ); document.write( "x^3+x-(4x^2-6)
\n" ); document.write( "x^3+x-2(2x^2-3)
\n" ); document.write( "No, this did not help.\r
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\n" ); document.write( "\n" ); document.write( "Look at Rational Roots Theorem.
\n" ); document.write( "Try -2 and +2.\r
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document.write( "2   |   1   -4   1   6\r\n" );
document.write( "    |\r\n" );
document.write( "    |       2   -4   -6\r\n" );
document.write( "    |-------------------------\r\n" );
document.write( "        1   -2   -3   0\r\n" );
document.write( "

\n" ); document.write( "The result means one factor is $\"%28x-2%29\"$ and other factor $\"x%5E2-2x-3\"$
\n" ); document.write( "which is composed of $\"x%2B1\"$ and $\"x-3\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Your factorization is $\"highlight%28%28x-2%29%28x%2B1%29%28x-3%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "(testing for -2 did not give a zero remainder.) \n" ); document.write( "

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