document.write( "Question 164148: Divide by factoring numerators and then dividing out common factors.
\n" ); document.write( "(7y^3-51y^2-2y+72)/(7y-9) \n" ); document.write( "
Algebra.Com's Answer #120936 by Edwin McCravy(20086) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "Divide by factoring numerators and then dividing out common factors.\r\n" );
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document.write( "(7y^3-51y^2-2y+72)/(7y-9)\r\n" );
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document.write( "Start with this:\r\n" );
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document.write( "              \r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
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document.write( "Divide 7y into 7y³ and get y².  Put that above -51y²\r\n" );
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document.write( "               y²\r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       \r\n" );
document.write( "Multiply y² by (7y - 9), getting 7y³ - 9y² and put that under the \r\n" );
document.write( "first two terms, and draw a line underneath:\r\n" );
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document.write( "               y² \r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            \r\n" );
document.write( "Subtract and bring down the next term:\r\n" );
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document.write( "               y² \r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            -42y² -  2y\r\n" );
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document.write( "Divide 7y into -42y² and get -6y².  Put that above -2y\r\n" );
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document.write( "               y² -  6y \r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            -42y² -  2y\r\n" );
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document.write( "Multiply -6y by (7y - 9), getting -42y² + 54y and put that under the \r\n" );
document.write( "first two terms, and draw a line underneath:\r\n" );
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document.write( "               y² -  6y -  8\r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            -42y² -  2y\r\n" );
document.write( "            -42y² + 54y\r\n" );
document.write( "            -----------\r\n" );
document.write( "                  \r\n" );
document.write( "Subtract and bring down the next term:                   \r\n" );
document.write( "                                             \r\n" );
document.write( "               y² -  6y \r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            -42y² -  2y\r\n" );
document.write( "            -42y² + 54y\r\n" );
document.write( "            -----------\r\n" );
document.write( "                   -56y + 72\r\n" );
document.write( "                   \r\n" );
document.write( "Divide 7y into -56y and get -8.  Put that above +72                           \r\n" );
document.write( "  \r\n" );
document.write( "               y² -  6y -  8\r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            -42y² -  2y\r\n" );
document.write( "            -42y² + 54y\r\n" );
document.write( "            -----------\r\n" );
document.write( "                   -56y + 72\r\n" );
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document.write( "Multiply -8 by (7y - 9), getting -56y + 72 and put that under the \r\n" );
document.write( "first two terms, and draw a line underneath:\r\n" );
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document.write( "\r\n" );
document.write( "               y² -  6y -  8\r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            -42y² -  2y\r\n" );
document.write( "            -42y² + 54y\r\n" );
document.write( "            -----------\r\n" );
document.write( "                   -56y + 72\r\n" );
document.write( "                   -56y + 72\r\n" );
document.write( "                   ---------\r\n" );
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document.write( "Subtract and get 0:\r\n" );
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document.write( "               y² -  6y -  8\r\n" );
document.write( "      ----------------------\r\n" );
document.write( "7y - 9)7y³ - 51y² -  2y + 72\r\n" );
document.write( "       7y³ -  9y²\r\n" );
document.write( "       ----------\r\n" );
document.write( "            -42y² -  2y\r\n" );
document.write( "            -42y² + 54y\r\n" );
document.write( "            -----------\r\n" );
document.write( "                   -56y + 72\r\n" );
document.write( "                   -56y + 72\r\n" );
document.write( "                   ---------\r\n" );
document.write( "                           0\r\n" );
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document.write( "So there is no remainder and the answer is y²-6y-8.\r\n" );
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document.write( "Edwin
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