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📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 5Heimo Pfeifenberger (born 13 December 1967 in Villach) is an Austrian football manager and former player, currently managing SV Lafnitz.

📌 Moving on to Austria Vienna in 1992, Pfeifenberger established himself as a key midfielder. He spent six seasons with the club, winning two Austrian Cup titles (1996 and 1997) and earning several caps for Austrias national team throughout his career.

📌 In 1998, he joined Grazer AK, contributing to their successful campaign before moving to SV Austria Salem in 2001, though his time there was brief. Pfeifenberger concluded his playing career with a final season at SV Lafnitz in 2004.

📌 Known for his focus on youth development and tactical discipline, Pfeifenberger has steadily built Lafnitz into a consistent mid-table club with a strong local identity.

📌 His ongoing tenure reflects stability and growth, reinforcing his reputation as one of the more effective mid-tier managers in Austrian regional football.

📌 Heimo Pfeifenberger: The Steady Force Behind SV Lafnitzs Resurgence

📌 From Player to Leader: How Heimo Pfeifenberger Built a Path at SV Lafnitz

📌 Heimo Pfeifenberger: Austrian Footballs Relentless Mid-Years Strategist

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We use the **Remainder Theorem**:
The remainder when a polynomial $ f(u) $ is divided by $ u - c $ is $...
Here, divide $ f(u) = u^3 + 2 $ by $ u + 1 = u - (-1) $.
So, compute $ f(-1) $:
f(-1) = (-1)^3 + 2 = -1 + 2 = 1
Question: Let $ a $ and $ b $ be complex numbers such that
\frac{a}{b} + \frac{b}{a} = 3.
Find the value of $ \frac{a^3}{b^3} + \frac{b^3}{a^3} $.
Let $ x = \frac{a}{b} \Rightarrow \frac{b}{a} = \frac{1}{x} $, so:
x + \frac{1}{x} = 3

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