document.write( "Question 290565: Factor the following expression completely: \"12x%5E3-18x%5E2%2B24x\". I have gotten to \"6x%282x%5E2-3x%2B4%29\" but I'm unsure if it can be futher reduced \n" ); document.write( "
Algebra.Com's Answer #210251 by Edwin McCravy(20060)\"\" \"About 
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\"12x%5E3-18x%5E2%2B24x\". I have gotten to \"6x%282x%5E2-3x%2B4%29\" but I'm unsure if it can be futher reduced
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document.write( "It cannot. Here is how to tell:\r\n" );
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document.write( "\"Ax%5E2%2BBx%2BC\" can be factored if and only if the disriminant\r\n" );
document.write( "\"D=B%5E2-4A%2AC\" is a perfect square.\r\n" );
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document.write( "Consider \"2x%5E2-3x%2B4\" as \"Ax%5E2%2BBx%2BC\"\r\n" );
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document.write( "so that \"A+=+2\", \"B+=+-3\", and \"C+=+4\"\r\n" );
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document.write( "Then calculate the discriminant using the formula: \r\n" );
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document.write( "\"D=B%5E2-4A%2AC\"\r\n" );
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document.write( "\"D=%28-3%29%5E2-4%282%29%2A%284%29\"\r\n" );
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document.write( "\"D=9-32\"\r\n" );
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document.write( "\"D=-22\"\r\n" );
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document.write( "Since -22 is not a perfect square, \"2x%5E2-3x%2B4\"\r\n" );
document.write( "cannot be factored. \r\n" );
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document.write( "Edwin
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