Algebra · Polynomial division · Remainder theorem · Geometric sum factorisation · Binomial theorem
Problem 3, 2008
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\[ x^{2008} - x^{2007} - 3x + 4 \]
on division by the polynomial \((x - 1)^{3}\).
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Serbian National Competition (Drzavno takmicenje) 2008, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source