document.write( "Question 1006300: How do you factor this question and what are the steps? 12x^3 + 16x^2 – 5x – 3 \n" ); document.write( "

Algebra.Com's Answer #622476 by josgarithmetic(39617) $\"\"$ $\"About$

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Rational Roots theorem and synthetic division.
\n" ); document.write( "The possible roots to try are the negative and positive of 1,3,1/3,1/2,3/2.\r
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\n" ); document.write( "\n" ); document.write( "You will find none of the integer values will work as roots.\r
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\n" ); document.write( "\n" ); document.write( "Skipping any showing of the process, the roots that work are $\"system%281%2F2%2C-1%2F3%2C-3%2F2%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The First Two Divisions That Give Remainder 0:\r
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document.write( "      |     12       16       -5       -3\r\n" );
document.write( "-1/3 |               -4       -4       3\r\n" );
document.write( "      |_______________________________________\r\n" );
document.write( "           12       12       -9        0\r\n" );
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\n" ); document.write( "Next remove the factor of 3 to make the next synthetic division easier, but remember the factor for later.
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document.write( "      |      4        4       -3\r\n" );
document.write( " 1/2 |                2        3\r\n" );
document.write( "      |_______________________________________\r\n" );
document.write( "            4         6        0\r\n" );
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\n" ); document.write( "\n" ); document.write( "Factorization will be whatever is equivalent to $\"3%28x-1%2F2%29%284x%2B6%29%28x%2B1%2F3%29\"$ . \n" ); document.write( "

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