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Home » Compute \( 9! \) and \( 4! \): - Portal da AcÃºstica

Compute \( 9! \) and \( 4! \): - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Next, divide by 3:

📌 \div 3 = 15, \quad 15 \div 3 = 5

📌 Finally, divide by 5:

📌 \div 5 = 1

📌 Thus, the prime factorization of 360 is \(2^3 \times 3^2 \times 5\).

📌 The distinct prime factors are 2, 3, and 5.

📌 Their sum is \(2 + 3 + 5 = 10\).

📌 The sum of the distinct prime factors is \(\boxed{10}\).

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h(1) = a(1)^3 + p(1) + q = a + p + q = 4 \quad ext{(1)}
h(2) = 8a + 2p + q = 10 \quad ext{(2)}
h(3) = 27a + 3p + q = 24 \quad ext{(3)}
Now subtract (a) from (b):
Plug into (a):
7\left(rac{2}{3}
ight) + p = 6 \Rightarrow rac{14}{3} + p = 6 \Rightarrow p = 6 - rac...
Now from (1):
rac{2}{3} + rac{4}{3} + q = 4 \Rightarrow rac{6}{3} + q = 4 \Rightar...
Thus \( h(x) = rac{2}{3}x^3 + rac{4}{3}x + 2 \)

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