document.write( "Question 1173673: Write a 4th degree polynomial with integer coefficients that has no rational roots. \n" ); document.write( "

Algebra.Com's Answer #798945 by ikleyn(52786) $\"\"$ $\"About$

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document.write( " + 1 = 0   (has no one real root, and in particular, has no one rational root).\r\n" );
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document.write( " = 4       (almost the same as   = 2,  has IRRATIONAL roots  x = +/-  ).\r\n" );
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document.write( " = 9       (almost the same as   = 3,  has IRRATIONAL roots  x = +/-  ).\r\n" );
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document.write( "And millions other examples.\r\n" );
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