document.write( "Question 1150740: Given that x^2+5x-14 is a factor of x^4-2x^3-37x^2+kx-168, evaluate the sum of the four roots of the equation: x^4-2x^3-37x^2+kx-168=0. \n" ); document.write( "

Algebra.Com's Answer #772157 by ikleyn(52835) $\"\"$ $\"About$

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\n" ); document.write( "Given that x^2+5x-14 is a factor of x^4-2x^3-37x^2+kx-168,
\n" ); document.write( "evaluate the sum of the four roots of the equation: x^4-2x^3-37x^2+kx-168=0.
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document.write( "Independently from any other \"given\" parts of the problem,\r\n" );
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document.write( "    the sum of the roots of the equation  x^4 - 2x^3 - 37x^2 + kx - 168 = 0 is equal to its coefficient at x^3 \r\n" );
document.write( "    taken with the opposite sign, i.e. +2.    (Based on the Vieta's theorem)\r\n" );
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document.write( "ANSWER.  The sum of the roots of the equation  x^4 - 2x^3 - 37x^2 + kx - 168 = 0  is  2.\r\n" );
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\n" ); document.write( "\n" ); document.write( " Double and triple check your problem ----- I am 198% sure that there is a FATAL ERROR \r
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\n" ); document.write( "\n" ); document.write( " BOTH in its formulation AND in flowing of the thoughts in the head of the person who created it.\r
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