document.write( "Question 77311This question is from textbook Elementary Algebra
\n" ); document.write( ": I need help figuring this out with long divison...Thanks\r
\n" ); document.write( "\n" ); document.write( "(2x^3 - 3x^2 + 2x -4 divided by x-2 \n" ); document.write( "

Algebra.Com's Answer #55401 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
what number multiplied by x gets you 2x^3? The answer is 2x^2. Place 2x^2 over 2x^3. Now multiply 2x^2 and x and place it underneath 2x^3. Multiply x by 5 and place it under 9x\r
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document.write( "    _2x^2___________________\r\n" );
document.write( "x-2 |2x^3 - 3x^2 + 2x - 4           \r\n" );
document.write( "     2x^3 - 4x^2\r\n" );
document.write( "    ----------------\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now subtract the second line from the first\r
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document.write( "\r\n" );
document.write( "    _2x^2___________________\r\n" );
document.write( "x-2 |2x^3 - 3x^2 + 2x - 4           \r\n" );
document.write( "   -(2x^3 - 4x^2)\r\n" );
document.write( "    ----------------\r\n" );
document.write( "             x^2\r\n" );
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\n" ); document.write( "Now what number multiplied by x gives you x^2? The answer is x. Place this number over -3x^2 and multiply it by (x-2). Place the product of 4(x-2) under x^2+2x and subtract\r
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document.write( "    _2x^2_+__x _________________\r\n" );
document.write( "x-2 |2x^3 - 3x^2 + 2x - 4           \r\n" );
document.write( "   -(2x^3 - 4x^2)\r\n" );
document.write( "    ----------------\r\n" );
document.write( "             x^2 + 2x\r\n" );
document.write( "           -(x^2 - 2x)\r\n" );
document.write( "           ------------\r\n" );
document.write( "                   4x - 4\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now what expression multiplies by x to get 4x? The answer is 4, so place this over 2x and multiply 2x(x-2). Place this product under 4x - 4 and subtract\r
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document.write( "\r\n" );
document.write( "    _2x^2_+__x __+_4_______________\r\n" );
document.write( "x-2 |2x^3 - 3x^2 + 2x - 4           \r\n" );
document.write( "   -(2x^3 - 4x^2)\r\n" );
document.write( "    ----------------\r\n" );
document.write( "             x^2 + 2x\r\n" );
document.write( "           -(x^2 - 2x)\r\n" );
document.write( "           ------------\r\n" );
document.write( "                   4x - 4\r\n" );
document.write( "                 -(4x - 8)\r\n" );
document.write( "               ------------\r\n" );
document.write( "                        4\r\n" );
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\n" ); document.write( "\n" ); document.write( "So the answer is:
\n" ); document.write( " $\"2x%5E2%2Bx%2B4+%2B4%2F%28x-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Or the answer in remainder format is:\r
\n" ); document.write( "\n" ); document.write( "2x^2+x+4 R 4\r
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