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Banyak polinom iredusibel

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Diberikan sebuah bilangan prima $p\geq 5$. Tentukan banyaknya polinomial berbentuk $$1+pX^k+pX^l+X^p$$ dengan $1\leq k \leq l\leq p-1$ yang irreducible di $\mathbb{Z}\:[X\:]$

 

Tes 1 Nomor 1 Pelatnas Tahap 3 IMO 2016

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