document.write( "Question 468030: please solve (6x^2+3x-18)/2x+4 \n" ); document.write( "
\n" ); document.write( "Hi,\n" ); document.write( "(6x^2+3x-18)/(2x+4) = 3x - 9/2\n" ); document.write( "Following is \"long division\" following the same pattern as all long division\n" ); document.write( " \n" ); document.write( " _______________________\n" ); document.write( "2x +4 | 6x^2 +3x -18 \n" ); document.write( " - (6x^2 +12x) This is 3x (2x+4)\n" ); document.write( " ---------------\n" ); document.write( " -9x - 18\n" ); document.write( " - (-9x - 18) This is -9/2(2x+4) \n" ); document.write( " ---------\n" ); document.write( " 0\n" ); document.write( "Note:\n" ); document.write( " (2x+4)(3x-9/2) = 6x^2 +3x -18\n" ); document.write( "F First terms 6x^2\n" ); document.write( "O Outside terms -9x\n" ); document.write( "I Inside terms 12x\n" ); document.write( "L Last terms -18\n" ); document.write( "