Problem 543. deconvolution

Created by AMITAVA BISWAS
Appears in Matrix Patterns III

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Suppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.
In this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).
Suppose there is another vector w like [1 -1].
In this example, the second polynomial is (x-1).
If x is any integer then the polynomial represented by (v/w) is integer?

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Last Solution submitted on Mar 06, 2024

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Rafael S.T. Vieira on 16 Oct 2020

This problem needs to have its description fixed. It should be "Is the polynomial represented by (v/w) an integer for any integer x except for the roots of w? if the integer x is a root of w, we will have a NaN, which is the case for the test case #1 and the value x=1 for instance.

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Problem 543. deconvolution

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