document.write( "Question 330779: Polynomials and Rational Expressions
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document.write( "4X^2 - 16 / 2 - x = ?\r
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document.write( "What is the solution to the above equation?\r
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document.write( "(here is the web site, http://www.starsamplequestions.org/starRTQ/results.jsp?param=CST10041&count=1# ) \n" );
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Algebra.Com's Answer #237133 by texttutoring(324) You can put this solution on YOUR website! You need to factor the top by bringing the 4 outside the brackets:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4(x^2 - 4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now x^2-4 is a difference of squares, so factor it as well:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4(x^2 - 4) \n" ); document.write( "=4(x+2)(x-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On the bottom, rearrange it so x is first:\r \n" ); document.write( "\n" ); document.write( "(2-x) = -(x-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now you should have this overall, combining top and bottom:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4(x+2)(x-2)/-(x-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cancel out the (x-2) terms, leaving you with:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4(x+2) \n" ); document.write( " |