document.write( "Question 202604: Question: If 4x^3+6x^2-2x+5 is divided by x+1/2, then the remainder is: (5), (6), (13/2), or (7)? thank-you. \n" ); document.write( "

Algebra.Com's Answer #152967 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
If you know Synthetic division it is easier than log division. I'm going to do this with long division because I don't feel like explaining Synthetic division again right now. (Someday I'll try an Algebra.com \"lesson\" on Synthetic Division.)

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document.write( "        4x^2 + 4x   +  (-4)\r\n" );
document.write( "        ___________________________________\r\n" );
document.write( "x + 1/2/4x^3 + 6x^2 + (-2x)  +  5\r\n" );
document.write( "        4x^3 + 2x^2\r\n" );
document.write( "       ------------\r\n" );
document.write( "               4x^2 + (-2x)\r\n" );
document.write( "               4x^2 +   2x\r\n" );
document.write( "               ------------\r\n" );
document.write( "                       -4x  +   5\r\n" );
document.write( "                       -4x  + (-2)\r\n" );
document.write( "                       -----------\r\n" );
document.write( "                                7\r\n" );
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\n" ); document.write( "So the remainder is 7.\r
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