document.write( "Question 1186822: \n" ); document.write( "
Algebra.Com's Answer #817799 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Write the quadratic equation whose roots are −3 and − 4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)
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document.write( "If the leading coefficient were 1 and not 4, the quadratic equation would be:\r\n" );
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document.write( "\"x%5E2\"\"%22%22-%22%22\"\"%28matrix%283%2C1%2CSUM%2COF%2CROOTS%29%29x\"\"%22%22%2B%22%22\"\"%28matrix%283%2C1%2CPRODUCT%2COF%2CROOTS%29%29\"\"%22%22=%22%22\"\"0\" \r\n" );
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document.write( "So we begin by finding that:\r\n" );
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document.write( "SUM OF ROOTS = (-3) + (-4) = -7\r\n" );
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document.write( "PRODUCT OF ROOTS (-3)(-4) = 12\r\n" );
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document.write( "So with leading coefficient 1, the answer would be \r\n" );
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document.write( "\"x%5E2\"\"%22%22-%22%22\"\"%28-7%29x\"\"%22%22%2B%22%22\"\"%2812%29\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "simplify\r\n" );
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document.write( "\"x%5E2\"\"%22%22%2B%22%22\"\"7x\"\"%22%22%2B%22%22\"\"12\"\"%22%22=%22%22\"\"0\" \r\n" );
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document.write( "To make it have leading coefficient of 4, simply multiply through by 4:\r\n" );
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document.write( "\"4x%5E2\"\"%22%22%2B%22%22\"\"28x\"\"%22%22%2B%22%22\"\"48\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Edwin
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