document.write( "Question 1150333: What is the average of the roots of $\"x%5E3%2Bx%5E2-x-1\"$ ? \n" ); document.write( "

Algebra.Com's Answer #771723 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Since the given polynomial is of the degree 3, it has 3 roots, according to Algebra Main theorem.\r\n" );
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document.write( "The sum of these roots is equal to the coefficient at x^2, taken with the opposite sign, according to Vieta's theorem.\r\n" );
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document.write( "Thus the sum of the three roots is equal to  -1.\r\n" );
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document.write( "Then the average of the three roots is  .  ANSWER\r\n" );
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