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Odd polynomial integration (Posted on 2024-10-13) Difficulty: 3 of 5
Let p(x) be a fifth degree polynomial with real coefficients such that p(x)+1 is divisible by (x-1)3 and p(x)-1 is divisible by (x+1)3. Find the value of ∫p(x)dx from -10 to 10.

No Solution Yet Submitted by Danish Ahmed Khan    
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re: Possible answer | Comment 2 of 4 |
(In reply to Possible answer by Larry)

If p(x)=0 then p(x)+1 isn't divisible by (x-1)^3


I am having trouble with this one too, but I agree it appears p(x) may be have to be an odd polynomial. 

  Posted by Jer on 2024-10-13 12:55:48
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