document.write( "Question 213971: \"Determine the value of k in the following\"\r
\n" ); document.write( "\n" ); document.write( "when $\"x%5E3%2Bkx%5E2%2B2x-3\"$ is divided by x +2, the remainder is 1. \n" ); document.write( "

Algebra.Com's Answer #161643 by stanbon(75887) $\"\"$ $\"About$

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\"Determine the value of k in the following\"\r
\n" ); document.write( "\n" ); document.write( "----------------------------------
\n" ); document.write( "when $\"x%5E3%2Bkx%5E2%2B2x-3\"$ is divided by x +2, the remainder is 1.\r
\n" ); document.write( "\n" ); document.write( "----------------------------------
\n" ); document.write( "Use synthetic division:
\n" ); document.write( "-2)....1....k.....2.........-3
\n" ); document.write( "........1....k-2..2-2k+4....|..-3 -2(-2k+6)\r
\n" ); document.write( "\n" ); document.write( "-------------------------
\n" ); document.write( "Remainder: -3 -2(-2k+6) = 1
\n" ); document.write( "Solve for \"k\":
\n" ); document.write( "4k -12 = 4
\n" ); document.write( "4k = 16
\n" ); document.write( "k = 4
\n" ); document.write( "==================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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