document.write( "Question 300782: i am haveing trouble factoring this. can you please help me? $\"21x%5E5-24x%5E2-6x%5E4\"$ \n" ); document.write( "

Algebra.Com's Answer #215754 by Edwin McCravy(20055) $\"\"$ $\"About$

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$\"21x%5E5-24x%5E2-6x%5E4\"$
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document.write( "First we rearrange the terms in descending order of\r\n" );
document.write( "exponents of x, by swapping the 2nd and 3rd terms:\r\n" );
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document.write( "We first look at 21, 6, and 24, and realize that the\r\n" );
document.write( "largest integer that divides into all of them is 3,\r\n" );
document.write( "and so that is the largest integer that can be\r\n" );
document.write( "factored out\r\n" );
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document.write( "Then we look at the ,  and \r\n" );
document.write( "and realize that the LARGEST exponent of x which can\r\n" );
document.write( "be factored out is the SMALLEST one that occurs in any\r\n" );
document.write( "term.  That is, \r\n" );
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document.write( "So we factor out \r\n" );
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document.write( "so we write this followed by an opening parenthesis:\r\n" );
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document.write( "We divide 3 into 21 and get 7, and write this next:\r\n" );
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document.write( "Then we divide  into  by subtracting exponents,\r\n" );
document.write( "getting , write that next to the 7 and we have this so far:\r\n" );
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document.write( "Now we look at second term of the original which is \r\n" );
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document.write( "We divide 3 into -6 and get -2, and write this next:\r\n" );
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document.write( "Then we divide  into  by subtracting exponents,\r\n" );
document.write( "getting , write that next to the 2 and we have this so far:\r\n" );
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document.write( "Now we look at last term of the original which is \r\n" );
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document.write( "We divide 3 into -24 and get -8, and write this next:\r\n" );
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document.write( "Then we divide  into , and since they are the\r\n" );
document.write( "same, we just get 1, and we don't have to write anything, and\r\n" );
document.write( "since this is the last term we have finished factoring, so we\r\n" );
document.write( "write a closing parenthesis, and we are done:\r\n" );
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document.write( "Edwin

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