document.write( "Question 1067762: Factor completely and show the check by re-multiplication. If the polynominal is not factorable, write \"prime\".\r
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Algebra.Com's Answer #682896 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Factor out 4x\r\n" );
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document.write( "Multiply 3 times -2, get -6\r\n" );
document.write( "Think of two integers that when multiplied give -6,\r\n" );
document.write( "yet when combined give -5.  If you think hard enough,\r\n" );
document.write( "you'll come up with -6 and +1, because when multiplied\r\n" );
document.write( "they give -6 and when combined they give -5.  So write\r\n" );
document.write( "-5x as -6x+1x\r\n" );
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document.write( "Factor 3x out of the first two terms inside the parentheses:\r\n" );
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document.write( "Factor +1 out of the last two terms inside the parentheses: \r\n" );
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document.write( "Factor (x-2) out of both terms in the big parentheses:\r\n" );
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document.write( "Drop the big parentheses:\r\n" );
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document.write( "Try breaking up 42x² as 6x time 7x\r\n" );
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document.write( "Ignoring the sign of -5, try breaking up 5 as 5 times 1 or as 1 times 5\r\n" );
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document.write( " or \r\n" );
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document.write( "There is no way to put signs in to make FOIL word, but\r\n" );
document.write( "there is for the second one.\r\n" );
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document.write( "Now you check by multiplying them out using FOIL or distributing.\r\n" );
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document.write( "Edwin

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