document.write( "Question 1049043: please factor polynomial. if it cant be factored is it prime.\r
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\n" ); document.write( "\n" ); document.write( "8x^5+16x^4-20x^3+12\r
\n" ); document.write( "\n" ); document.write( "please show steps
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Algebra.Com's Answer #664680 by josgarithmetic(39625) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4%282x%5E5%2B4x%5E4-5x%5E3%2B3%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Review Rational Roots Theorem. The possible roots to check, helpful for factoring, are the plusses and minuses of 1, 3, 1/2, 3/2; and you might expect as many as up to five complex roots.\r
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\n" ); document.write( "\n" ); document.write( "Setup your first-root synthetic divisions this way:\r
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document.write( "ROOT   |      2    4     -5     0     0     3\r\n" );
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document.write( "       |_____________________________________________\r\n" );
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\n" ); document.write( "Because you must account for all lower degree of the variable.\r
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\n" ); document.write( "\n" ); document.write( "You will find that NONE of the possible rational roots checked will work; meaning remainder in the synthetic divisions will be NONZERO. The factor $\"2x%5E5%2B4x%5E4-5x%5E3%2B3\"$ is the PRIME factor.\r
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\n" ); document.write( "I did not actually perform the divisions. I used the graphing feature of Google Chrome browser. \n" ); document.write( "

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