document.write( "Question 1064945: a) Expand the product (x-1)(x-2)(x-3).\r
\n" ); document.write( "\n" ); document.write( "b) The \"cubic\" x^3 + 2x^2 - 11x - 12 has three roots. What is their sum? \n" ); document.write( "
Algebra.Com's Answer #680033 by Edwin McCravy(20059)\"\" \"About 
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document.write( "(x-1)(x-2)(x-3).\r\n" );
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document.write( "Use FOIL on the last two parenthetical expressions, \r\n" );
document.write( "leave the first alone:\r\n" );
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document.write( "(x-1)(x²-3x-2x+6)\r\n" );
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document.write( "Combine -3x and -2x as -5x\r\n" );
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document.write( "(x-1)(x²-5x+6)\r\n" );
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document.write( "Multiply every term in (x-1) by every term in (x²-5x+6)\r\n" );
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document.write( "x³-5x²+6x-x²+5x-6\r\n" );
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document.write( "Combine -5x² and -x² as -6x²\r\n" );
document.write( "Combine +6x and +5x as +11x\r\n" );
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document.write( "x³-6x²+11x-6\r\n" );
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document.write( "--------------------\r\n" );
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document.write( "The sum of the roots of a polynomial is \r\n" );
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document.write( "The coefficient of the term whose exponent of x is exactly\r\n" );
document.write( "1 less than the largest exponent of x in the entire polynomial,\r\n" );
document.write( "with the opposite sign.\r\n" );
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document.write( "x³+2x²-11x-12\r\n" );
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document.write( "The largest exponent of x is 3, found in the term x³. So the \r\n" );
document.write( "term whose exponent of x is 1 less than 3, is the term +2x². \r\n" );
document.write( "Its coefficient is +2, so we change its sign, and the sum of \r\n" );
document.write( "the roots of the polynomial is -2. \r\n" );
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document.write( "Edwin

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