document.write( "Question 233477: x^2-6x-27
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document.write( "_divided by_
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document.write( " x+3\r
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document.write( "When the teacher does it in class it looks so easy.I tried synthetic division but it does not come out right.I tried dividing -3 into x^2-6x-27 but I can not figure out how many times -3 will go into x which would actually be 1x,so I am stuck at the first step.
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Algebra.Com's Answer #172312 by Theo(13342) You can put this solution on YOUR website! x^2 - 6x - 27 divided by x + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide x into x^2 to get x ***** first part of your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply x * (x+3) to get x^2 + 3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract x^2 + 3x from x^2 - 6x to get -9x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "carry down the -27 to get -9x - 27\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide x into -9x to get -9 ***** second part of your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply -9 * (x+3) to get -9x - 27\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract -9x - 27 from -9x - 27 to get 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 - 6x - 27 divided by x + 3 = x - 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+3) * (x-9) = x^2 - 6x - 27\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying those factors out gets:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 - 9x + 3x - 27 which becomes x^2 - 6x - 27 which is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer is x - 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |