document.write( "Question 1075769: There are integers $b,c$ for which both roots of the polynomial $x^2-x-1$ are also roots of the polynomial $x^5-bx-c$. Determine the product $bc$. \n" ); document.write( "

Algebra.Com's Answer #690451 by ikleyn(52944) $\"\"$ $\"About$

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document.write( "1.  The roots of the polynomial  are\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "2.  Substitute the root (the number)  into the polynomial .\r\n" );
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document.write( "    According to the condition, you will get the equation \r\n" );
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document.write( "     -  -  = 0.\r\n" );
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document.write( "3.  From this point, read my solution to the problem\r\n" );
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document.write( "    https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.1075766.html\r\n" );
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document.write( "    \r\n" );
document.write( "    https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.1075766.html\r\n" );
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document.write( "4.  Armed with these hints, you are ready / are prepared to complete this assignment on your own.\r\n" );
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\n" ); document.write( "\n" ); document.write( " H a p p y l e a r n i n g !\r
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