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\sqrt[3]{(2011)^3 + 3x(2011)^2 + 4x 2011+ 5} (HOMC 2011 Q3)

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July 25, 2019
square rootsfloor functionalgebra

Problem Statement

What is the largest integer less than to \sqrt[3]{(2011)^3 + 3 \times (2011)^2 + 4 \times 2011+ 5} ?
(A) 20102010, (B) 20112011, (C) 20122012, (D) 20132013, (E) None of the above.