document.write( "Question 1193950: find the value of k so that (x^4 -2x^2 +kx+6) is divided by (x-2), the remainder is 0 \n" ); document.write( "
Algebra.Com's Answer #826017 by Theo(13342)\"\" \"About 
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use 2synthetic division as shown below:\r
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\n" ); document.write( "\n" ); document.write( "the last position in the synthetic division is 2k + 14.
\n" ); document.write( "if x - 2 is a factor of the equation, then 2k + 14 must be equal to 0.
\n" ); document.write( "solve for k to get k = -7.\r
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\n" ); document.write( "\n" ); document.write( "here's a reference on synthetic division.
\n" ); document.write( "https://www.purplemath.com/modules/synthdiv.htm\r
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\n" ); document.write( "\n" ); document.write( "replacing k in the original equation with -7, i get:
\n" ); document.write( "y = x^4 -2x^2 -7x + 6
\n" ); document.write( "the graph of that equation below shows that one of the zeroes of that equation is at x = 2.
\n" ); document.write( "the factor is (x - 2).\r
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