document.write( "Question 1024826: Why do we even factor? What is the purpose of it? What do we use it for? \n" ); document.write( "

Algebra.Com's Answer #640192 by ikleyn(52834) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  If you have no use factor, do not use it.   (It is a joke, of course. But it fits the tone of your post).\r\n" );
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document.write( "2.  Imagine that you need to solve this equation\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "    and you have no a piece of paper to write the quadratic formula.\r\n" );
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document.write( "    But you can solve it mentally, by factoring the left side as (x-3)*(x-7). \r\n" );
document.write( "    Then you easily get the roots 3 and 7.\r\n" );
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document.write( "3.  Now imagine that you need to solve this cubic equation \r\n" );
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document.write( "     = .\r\n" );
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document.write( "    How can you do it?\r\n" );
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document.write( "    Again, apply factoring and factor the left side as (x-1)*(x+1)*(x-2).\r\n" );
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document.write( "    Then you easily find the roots 1, -1 and 2.\r\n" );
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