document.write( "Question 119638: I need your help to solve the following:
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document.write( "Divide: (4x^4 - 12x^3 - 48x - 60) + (x - 4)\r
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document.write( "This question is from a worksheet. \n" );
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Algebra.Com's Answer #87637 by benbjlin(6)![]() ![]() ![]() You can put this solution on YOUR website! I assume you mean:\r \n" ); document.write( "\n" ); document.write( "(4x^4 - 12x^3 - 48x - 60) / (x - 4)\r \n" ); document.write( "\n" ); document.write( "The most straight forward way is to solve this long division style. We will use 0x^2 as a place holder. As follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ":::::::::::::::::4*x^3 + 4*x^2 + 16*x + 16 + 4/(x-4) \n" ); document.write( " _____________________________________ \n" ); document.write( "(x-4) | 4*x^4 - 12*x^3 - 0*x^2 - 48*x - 60 \n" ); document.write( "::::::-(4*x^4 - 16*x^3) \n" ); document.write( "::::::________________ \n" ); document.write( ":::::::::::0 4*x^3 - 0*x^2 \n" ); document.write( ":::::::::::::::-(4*x^3 - 16*x^2) \n" ); document.write( ":::::::::::::::________________ \n" ); document.write( ":::::::::::::::::::0 16*x^2 - 48*x \n" ); document.write( ":::::::::::::::::::::::-(16*x^2 - 64*x) \n" ); document.write( ":::::::::::::::::::::::_______________ \n" ); document.write( ":::::::::::::::::::::::::::0 16*x - 60 \n" ); document.write( "::::::::::::::::::::::::::::::::-(16*x - 64) \n" ); document.write( "::::::::::::::::::::::::::::::::___________ \n" ); document.write( "::::::::::::::::::::::::::::::::::::::::::4\r \n" ); document.write( "\n" ); document.write( "Factor 4 out from: 4x^3 + 4x^2 + 16x + 16 + 4/(x-4)\r \n" ); document.write( "\n" ); document.write( "4*(x^3 + x^2 + 4x + 4 + 1/(x-4))\r \n" ); document.write( "\n" ); document.write( "Check: \r \n" ); document.write( "\n" ); document.write( "1. (x-4)*4*(x^3 + x^2 + 4*x + 4 + 1/(x-4)) Multiply 4 into (x^3...) \n" ); document.write( "2. (x-4) * (4*x^3 + 4*x^2 + 16*x + 16 + 4/(x-4)) Multiply (x-4) into (4*x^3...) \n" ); document.write( "3. 4*x^4 - 16*x^3 + 4x^3 - 16*x^2 + 16*x^2 - 64*x + 16*x - 64 + 4 Simplify \n" ); document.write( "4. 4*x^4 - 12*x^3 - 48*x - 60 \n" ); document.write( " |