document.write( "Question 478857: Hello. My question is When a polynomial P(x) is divided by 2x+1, the quotient is $\"x%5E2-x%2B4\"$ and the remainder is 3. Find P(x). Thanks in advance. \n" ); document.write( "

Algebra.Com's Answer #328124 by Edwin McCravy(20056) $\"\"$ $\"About$

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My question is When a polynomial P(x) is divided by 2x+1, the quotient is $\"x%5E2-x%2B4\"$ and the remainder is 3\r
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document.write( "Multiply through by (2x+1)\r\n" );
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document.write( "Checking:\r\n" );
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document.write( "             x² -  x + 4 \r\n" );
document.write( "2x + 1)2x³ - x² + 7x + 7\r\n" );
document.write( "       2x³ + x²\r\n" );
document.write( "           -2x² + 7x\r\n" );
document.write( "           -2x² -  x\r\n" );
document.write( "                  8x + 7\r\n" );
document.write( "                  8x + 4\r\n" );
document.write( "                       3\r\n" );
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document.write( "Edwin

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