document.write( "Question 1182506: Let P(x) be a nonconstant polynomial, where all the coefficients are
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document.write( "nonnegative integers. Prove that there exist infinitely many positive
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document.write( "integers n such that P(n) is composite.\r
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document.write( "Hint(s):\r
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document.write( "Remember that if a and b are distinct integers, then P(a) - P(b) is divisible by a - b. \n" );
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Algebra.Com's Answer #812594 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "when the degree is 1, P(x) = c1x+c2, certainly you can\r\n" ); document.write( "put in infinitely many positive integers for x and get a composite number.\r\n" ); document.write( "\r\n" ); document.write( "For P(x) with degrees m > 1:\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |