document.write( "Question 1188350: Given f(x)=x^3+kx+2, and x+1 is a factor of f(x), then what is the value of k? \n" ); document.write( "
Algebra.Com's Answer #819411 by Edwin McCravy(20056)\"\" \"About 
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Given f(x)=x^3+kx-36, and x-3 is a factor
\n" ); document.write( "of f(x), then what is the value of k?
We divide f(x) by x-3, using synthetic division (be sure to change the sign of\r\n" );
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document.write( " 3 | 1   0   k   -36\r\n" );
document.write( "   |     3   9  3k+27\r\n" );
document.write( "     1   3  k+9 3k-9\r\n" );
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document.write( "The remainder 3k-9 must be 0, so 3k-9 = 0\r\n" );
document.write( "                                   3k = 9\r\n" );
document.write( "                                    k = 3\r\n" );
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document.write( "Edwin
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