document.write( "Question 363157: Please help me factor this polynomial: \"8x%5E3-12x%5E2%2B6x-1\". I am trying to figure out how to solve it using the factor theorem. My answer key uses 2 as the factor of the constant term. And then the synthetic division looks like this: 1-6 12-8
\n" ); document.write( " 2- 8 8
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\n" ); document.write( " 1-4 4 R.0
\n" ); document.write( "I do not understand how you can use 2 as the factor of the constant term. Thank you for your assistance.
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Algebra.Com's Answer #258914 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, \r\n" );
document.write( "substituion verifies that 1/2 is a root (1 - 3 + 3 - 1 = 0)\r\n" );
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document.write( "          8x^2 -   8x +     2\r\n" );
document.write( "        __________________________\r\n" );
document.write( "(x -.5) | 8x^3 -  12x^2 +   6x - 1\r\n" );
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\n" ); document.write( "\n" ); document.write( "applying quadratic equation
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%288+%2B-+sqrt%28+8%5E2-64+%29%29%2F%2816%29+\"
\n" ); document.write( "x = 1/2
\n" ); document.write( "factoring \"8x%5E3-12x%5E2%2B6x-1\" would result as:
\n" ); document.write( "(x-.5)(x -.5)(x -.5) \n" ); document.write( "
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