document.write( "Question 211338: Please help my divide (4x^3-17x^2+7x+10) by (4x-5) \n" ); document.write( "
Algebra.Com's Answer #159920 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Please help me divide (4x^3-17x^2+7x+10) by (4x-5)
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document.write( "To make it easier to type I will leave out the ^ for\r\n" );
document.write( "exponents on the right.  For example 2x3 means 2x3,\r\n" );
document.write( "OK?\r\n" );
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document.write( "Begin with this:\r\n" );
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document.write( "               \r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       \r\n" );
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document.write( "divide 4x into the 4x3, get x2, write it over the -17x2\r\n" );
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document.write( "               x2 \r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       \r\n" );
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document.write( "multiply x2 by 4x - 5 and get 4x3 - 5x2, write that \r\n" );
document.write( "underneath the first two terms, and draw a line.\r\n" );
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document.write( "               x2\r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       4x3 -  5x2\r\n" );
document.write( "       ----------\r\n" );
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document.write( "Subtract by imagining the lower number to have the\r\n" );
document.write( "opposite sign and combine them, getting 0x3 - 12x2, but\r\n" );
document.write( "we don't write the 0x3 and we just have -12x2 to write below the line.\r\n" );
document.write( "We bring down the next term, which is +7x:\r\n" );
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document.write( "               x2 \r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       4x3 -  5x2\r\n" );
document.write( "       ----------\r\n" );
document.write( "           - 12x2 +  7x \r\n" );
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document.write( "divide 4x into the -12x2, get -3x, write it at the top \r\n" );
document.write( "over the +7x\r\n" );
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document.write( "               x2 -  3x \r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       4x3 -  5x2\r\n" );
document.write( "       ----------\r\n" );
document.write( "           - 12x2 +  7x\r\n" );
document.write( "        \r\n" );
document.write( "multiply -3x by 4x - 5 and get -12x2 + 7x, write that \r\n" );
document.write( "underneath the two terms at the bottom, and draw a line\r\n" );
document.write( "underneath.\r\n" );
document.write( "\r\n" );
document.write( "               x2 -  3x \r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       4x3 -  5x2\r\n" );
document.write( "       ----------\r\n" );
document.write( "           - 12x2 +  7x\r\n" );
document.write( "           - 12x2 + 15x \r\n" );
document.write( "           ------------\r\n" );
document.write( "                 \r\n" );
document.write( "Subtract by imagining the lower number to have the\r\n" );
document.write( "opposite sign and combine them, getting 0x2 - 8x, but\r\n" );
document.write( "we don't write the 0x2 and we just have -8x to write below the line.\r\n" );
document.write( "and bring down the +10\r\n" );
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document.write( "               x2 -  3x \r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       4x3 -  5x2\r\n" );
document.write( "       ----------\r\n" );
document.write( "           - 12x2 +  7x\r\n" );
document.write( "           - 12x2 + 15x \r\n" );
document.write( "           ------------\r\n" );
document.write( "                  -  8x + 10\r\n" );
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document.write( "\r\n" );
document.write( "divide 4x into the -8x, get -2, write it at the top \r\n" );
document.write( "over the +10\r\n" );
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document.write( "               x2 -  3x -  2\r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       4x3 -  5x2\r\n" );
document.write( "       ----------\r\n" );
document.write( "           - 12x2 +  7x\r\n" );
document.write( "           - 12x2 + 15x \r\n" );
document.write( "           ------------\r\n" );
document.write( "                  -  8x + 10\r\n" );
document.write( "                \r\n" );
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document.write( "\r\n" );
document.write( "multiply -2 by 4x - 5 and get -8x + 10, write that \r\n" );
document.write( "underneath the two terms at the bottom, and draw a line\r\n" );
document.write( "underneath.\r\n" );
document.write( "\r\n" );
document.write( "               x2 -  3x -  2\r\n" );
document.write( "      ---------------------- \r\n" );
document.write( "4x - 5)4x3 - 17x2 +  7x + 10\r\n" );
document.write( "       4x3 -  5x2\r\n" );
document.write( "       ----------\r\n" );
document.write( "           - 12x2 +  7x\r\n" );
document.write( "           - 12x2 + 15x \r\n" );
document.write( "           ------------\r\n" );
document.write( "                  -  8x + 10\r\n" );
document.write( "                  -  8x + 10\r\n" );
document.write( "                  ---------- \r\n" );
document.write( "                           \r\n" );
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document.write( "Subtract by imagining the lower number to have the\r\n" );
document.write( "opposite sign and combine them, getting 0 remainder\r\n" );
document.write( "and we are through.  Since the remainder was 0,\r\n" );
document.write( "the quotient is x2 - 3x - 2.\r\n" );
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document.write( "Edwin
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