Factor A Degree 100 Polynomial (II)

Algebra Level 5

Can the polynomial (x−1)(x−2)(x−3)⋯(x−100)+1 (x-1)(x-2)(x-3) \cdots (x-100) + 1 be factorized into 2 non-constant polynomials with integer coefficients?

Inspiration.

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Abdelhamid Saadi by Abdelhamid Saadi
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