document.write( "Question 985173: what is the factored form of 4x^3-10x2-8x+6 \n" ); document.write( "
Algebra.Com's Answer #606070 by Edwin McCravy(20056)\"\" \"About 
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document.write( "4x³-10x²-8x+6\r\n" );
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document.write( "Factor out 2\r\n" );
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document.write( "2(2x³-5x²-4x+3)\r\n" );
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document.write( "All the candidates for rational zeros are\r\n" );
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document.write( "±1, ±1/2, ±3, ±3/2 \r\n" );
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document.write( "We try 1 with synthetic division:\r\n" );
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document.write( "1 | 2  -5  -4   3\r\n" );
document.write( "  |     2  -3  -7\r\n" );
document.write( "    2  -3  -7  -4\r\n" );
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document.write( "That doesn't work because the last number on\r\n" );
document.write( "the bottom is -4 not 0.\r\n" );
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document.write( "We try -1\r\n" );
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document.write( "-1 | 2  -5  -4   3\r\n" );
document.write( "   |    -2   7  -3\r\n" );
document.write( "     2  -7   3   0\r\n" );
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document.write( "So x+1 is a factor. so \r\n" );
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document.write( "2(2x³-5x²-4x+3) becomes\r\n" );
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document.write( "2(x+1)(2x²-7x+3)\r\n" );
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document.write( "The quadratic factors and the complete factorization is:\r\n" );
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document.write( "2(x+1)(x-3)(2x-1)\r\n" );
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document.write( "Edwin
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