document.write( "Question 177074: When x^3+cx+d is divided by x+1, the remainder is 3, and when it is divided by x-2, the remainder is -3. Determine the values of c and d. \n" ); document.write( "
Algebra.Com's Answer #132133 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
When x^3+cx+d is divided by x+1, the remainder is 3
\n" ); document.write( "So f(-1) = -1 -c + d = 3
\n" ); document.write( "-------------------------------\r
\n" ); document.write( "\n" ); document.write( "and when it is divided by x-2, the remainder is -3
\n" ); document.write( "So f(2) = 8 + 2c + d = -3
\n" ); document.write( "--------------------------------\r
\n" ); document.write( "\n" ); document.write( "Determine the values of c and d.
\n" ); document.write( "------
\n" ); document.write( "Rearrange to get:
\n" ); document.write( "-c + d = 3
\n" ); document.write( "2c + d = -11
\n" ); document.write( "-------------------
\n" ); document.write( "Simplify:
\n" ); document.write( "-2c + 2d = 6
\n" ); document.write( "2c + d = -11
\n" ); document.write( "-----------------
\n" ); document.write( "Add to solve for \"d\":
\n" ); document.write( "3d = -5
\n" ); document.write( "d = -5/3
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute to solve for \"c\":
\n" ); document.write( "c = d -3
\n" ); document.write( "c = (-5/3) - 3
\n" ); document.write( "c = (-5/3) - (9/3) = -14/3
\n" ); document.write( "================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );