document.write( "Question 400673: factor 15x4-10x2-30x
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Algebra.Com's Answer #283611 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "15x4-10x2-30x\r\n" ); document.write( "\r\n" ); document.write( "Ask yourself: What is the largest whole number that can be divided evenly\r\n" ); document.write( "into 15, 10, and 30?\r\n" ); document.write( "\r\n" ); document.write( "Answer: 5\r\n" ); document.write( "\r\n" ); document.write( "Is it different from 1?\r\n" ); document.write( "\r\n" ); document.write( "Answer: yes\r\n" ); document.write( "\r\n" ); document.write( "Then 5 is the first factor of the GCF.\r\n" ); document.write( "\r\n" ); document.write( "Ask yourself: Is there a letter which appears in every term? \r\n" ); document.write( "\r\n" ); document.write( "Answer: yes, x appears in every term.\r\n" ); document.write( "\r\n" ); document.write( "Then what is the smallest exponent of x?\r\n" ); document.write( "\r\n" ); document.write( "Answer: The understood exponent 1 in the term -30x which means \r\n" ); document.write( "-30x1 \r\n" ); document.write( "\r\n" ); document.write( "Then the GCF is 5x\r\n" ); document.write( "\r\n" ); document.write( "Then we write\r\n" ); document.write( "\r\n" ); document.write( "5x(\r\n" ); document.write( "\r\n" ); document.write( "Then we divide 15x4 by 5x and get 3x3.\r\n" ); document.write( "So we write this next and we have this:\r\n" ); document.write( "\r\n" ); document.write( "5x(3x3\r\n" ); document.write( "\r\n" ); document.write( "Then we divide -10x2 by 5x and get -2x.\r\n" ); document.write( "So we write this next and we have this:\r\n" ); document.write( "\r\n" ); document.write( "5x(3x3-2x\r\n" ); document.write( "\r\n" ); document.write( "Then we divide -30x by 5x and get -6.\r\n" ); document.write( "So we write this next and we have this:\r\n" ); document.write( "\r\n" ); document.write( "5x(3x3-2x-6\r\n" ); document.write( "\r\n" ); document.write( "We have now divided all the terms by the 5x and so we\r\n" ); document.write( "end by putting a right parentheses on the right end.\r\n" ); document.write( "So the final answer is\r\n" ); document.write( "\r\n" ); document.write( "5x(3x3-2x-6)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |