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Reduce to a lower degree (Posted on 2021-03-19) Difficulty: 2 of 5
Let P(x) and Q(x) be (monic) polynomials with real coefficients (the first coefficient being equal to 1), and degP(x)=degQ(x)=10.

Prove that if the equation P(x)=Q(x) has no real solutions, then P(x+1)=Q(x-1) has a real solution.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionSolutionJer2021-03-20 12:01:27
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