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MathNet 2026 — Part 07 Question 66

Math Olympiad Vault · MathNet 2026 — Part 07

Question 66

There are two values of $r$ such that $x^{4} - x^{3} - 18 x^{2} + 52 x + k$ has $x - r$ as a factor. If one of them is $r = 2$, what is the other value of $r$?