document.write( "Question 489173: I am trying to find the greatest common factors for this equation 3x^(5)+3x^(4)-18x^(3)+18x^(2). \n" ); document.write( "
Algebra.Com's Answer #333582 by Edwin McCravy(20059)\"\" \"About 
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document.write( "3x5+3x4-18x3+18x2\r\n" );
document.write( "The coefficients are 3,3,-18, and 18.  3 is the largest integer that\r\n" );
document.write( "all of them are divisible by:\r\n" );
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document.write( "The variable parts are x5, x4, x3, and x2.  x2 is the largest\r\n" );
document.write( "power that all of them will divide into. [It sounds contradictory\r\n" );
document.write( "that \"the smallest is the largest\" but the smallest power is the\r\n" );
document.write( "largest power that can be taken out]. \r\n" );
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document.write( "So the greatest common factor GCF is 3x2, and\r\n" );
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document.write( "3x2(x3+x2-6x+6)\r\n" );
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document.write( "is the simplest factored form.\r\n" );
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document.write( "Edwin
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