document.write( "Question 553044: \n" );
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Algebra.Com's Answer #360634 by TutorDelphia(193)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Set your paper up like a long division problem \n" ); document.write( " \n" ); document.write( "2x+3) 2x^3-7x^2-17x-3\r \n" ); document.write( "\n" ); document.write( "look at your highest power first. \r \n" ); document.write( "\n" ); document.write( "What can I multiply 2x by to get 2x^3?\r \n" ); document.write( "\n" ); document.write( "I can multiply by x^2\r \n" ); document.write( "\n" ); document.write( "So I multiply by x^2 and get 2x^3+3x^2 and I subtract that from 2x^3+3x^2 and get -10x^2 and bring down the -17x\r \n" ); document.write( "\n" ); document.write( "Now looking at -10x^2-17x, what can I multiply 2x by to get -10x^2? -5x\r \n" ); document.write( "\n" ); document.write( "So I multiply by -5x and get -10x^2-15x. Since I'm subtracting and have a negative I reverse the signs and get -2x and bring down the -3\r \n" ); document.write( "\n" ); document.write( "To get -2x-3 I multiply by -1 and get -2x-3 so again, reverse the signs and that all works out evenly\r \n" ); document.write( "\n" ); document.write( "I get x^2-5x-1 as my answer.\r \n" ); document.write( "\n" ); document.write( "This would be easier to diagram out for you, but hopefully this helped. You can also watch this video on dividing polynomials: http://www.khanacademy.org/video/polynomial-division?playlist=ck12.org+Algebra+1+Examples \n" ); document.write( " |