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MathNet 2024-part-06 — 165 problems (EN–VI) Question 9

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 9

The roots of $x^3 + 2x^2 - x + 3$ are $p$, $q$, and $r$. What is the value of $(p^2 + 4)(q^2 + 4)(r^2 + 4)$?
(A) 64 (B) 75 (C) 100 (D) 125 (E) 144