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Polynomial of degree 3n (Posted on 2016-05-07) Difficulty: 3 of 5
A polynomial P(x) of degree 3n has the value 2 at x= 0, 3, 6,..., 3n, and:
the value 1 at x= 1, 4, 7, ... , 3n-2, and:
the value 0 at x= 2, 5, 8, ... , 3n-1.

Given that P(3n+1) = 730, find n.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: possible solution | Comment 2 of 6 |
(In reply to possible solution by Steve Herman)

P(x) = (x-2)(30.5x(x-1)-1) , at x = 3n with n = 1,


= (3 - 2) (30.5 (3)(3 - 1) - 1) = 182, not 2

  Posted by ken on 2016-05-08 01:02:09
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