document.write( "Question 636344: what is the result of (x^5-x^3+2x-9+5)/(x+2)\r
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document.write( "I just cant figure this out \n" );
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Algebra.Com's Answer #400948 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hi, there--\r\n" ); document.write( "\r\n" ); document.write( "The problem:\r\n" ); document.write( "Simplify (x^5-x^3+2x-9+5)/(x+2) by dividing.\r\n" ); document.write( "\r\n" ); document.write( "A solution:\r\n" ); document.write( "We can solve this using long division (just like in fifth grade, except you have variables.)\r\n" ); document.write( "Remember to keep everything lines up and make sure to only add and subtract like terms.\r\n" ); document.write( "\r\n" ); document.write( "Notice that \r\n" ); document.write( "x^5-x^3+2x-9+5 = x^5 + 0x^4 - x^3 + 0x^2 + 2x -4\r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " x^4 - 2x^3 + 3x^2 - 6x + 14\r\n" ); document.write( " ___________________________________\r\n" ); document.write( "x+2 ) x^5 + 0x^4 - x^3 + 0x^2 + 2x - 4\r\n" ); document.write( " x^5 + 2x^4\r\n" ); document.write( " ----------\r\n" ); document.write( " - 2x^4 - x^3\r\n" ); document.write( " - 2x^4 - 4x^3\r\n" ); document.write( " ------------\r\n" ); document.write( " 3x^3 + 0x^2\r\n" ); document.write( " 3x^3 + 6x^2\r\n" ); document.write( " -----------\r\n" ); document.write( " - 6x^2 + 2x\r\n" ); document.write( " - 6x^2 -12x\r\n" ); document.write( " -----------\r\n" ); document.write( " 14x - 4\r\n" ); document.write( " 14x + 28\r\n" ); document.write( " --------\r\n" ); document.write( " - 32\r\n" ); document.write( "\r\n" ); document.write( "The quotient is x^4 - 2x^3 + 3x^2 - 6x + 14 with a remainder of -32.\r\n" ); document.write( "You can also write this as:\r\n" ); document.write( "x^4 - 2x^3 + 3x^2 - 6x + 14 - 32/(x+2) \r\n" ); document.write( "\r\n" ); document.write( "Feel free to email me if you have questions about this solution.\r\n" ); document.write( "\r\n" ); document.write( "Ms.Figge\r\n" ); document.write( "math.in.the.vortex@gmail.com\r\n" ); document.write( "\n" ); document.write( " |