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Home » So, the x-term coefficient is \( b = -8 \). - Sterling Industries

So, the x-term coefficient is \( b = -8 \). - Sterling Industries

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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📌 Solution: Let the four consecutive integers be $ n, n+1, n+2, n+3 $. Their product is $ n(n+1)(n+2)(n+3) $.

📌 We analyze divisibility properties:

📌 Among any four consecutive integers, at least one is divisible by 4.

📌 At least two are even, so the product is divisible by $ 2 \cdot 2 = 4 $.

📌 At least one is divisible by 3.

📌 Therefore, the product is divisible by $ 4 \cdot 2 \cdot 3 = 24 $.

📌 Now, we test whether a larger number, like 48, must divide the product. Consider $ n = 1 $

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