document.write( "Question 635633: Hi, I know I know this, but I am drawing a blank, and could use some help please.\r
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document.write( "Factor completely. 9x^5-45x^4+27x^3.\r
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document.write( "Thank you very much. \n" );
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Algebra.Com's Answer #400438 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's try to factor the inner expression \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Looking at the expression \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now multiply the first coefficient \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now the question is: what two whole numbers multiply to \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find these two numbers, we need to list all of the factors of \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factors of \n" ); document.write( "\n" ); document.write( "1,3\r \n" ); document.write( "\n" ); document.write( "-1,-3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: list the negative of each factor. This will allow us to find all possible combinations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These factors pair up and multiply to \n" ); document.write( "\n" ); document.write( "1*3 = 3 \n" ); document.write( "(-1)*(-3) = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's add up each pair of factors to see if one pair adds to the middle coefficient \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From the table, we can see that there are no pairs of numbers which add to \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "===============================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In other words, \n" ); document.write( " \n" ); document.write( " |