Check each of these 6 candidates by plugging the values into the polynomial:
*P*(1)=-1, *P*(-1)=-21, *P*(2)=-12, *P*(-2)=-28, *P*(4)=44, *P*(-4)=204. None of these candidates satisfies *P*(*x*)=0; consequently this polynomial does not have any rational roots. All the work was in vain.

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Tue Jun 24 12:41:53 MDT 1997

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