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Guesstimation

Source: 2018 AMC 12A #21

February 8, 2018
AMCAMC 12AMC 12 A2018 AMC 12A

Problem Statement

Which of the following polynomials has the greatest real root?
<spanclass=′latex−bold′>(A)</span>x19+2018x11+1<spanclass=′latex−bold′>(B)</span>x17+2018x11+1<spanclass=′latex−bold′>(C)</span>x19+2018x13+1<spanclass=′latex−bold′>(D)</span>x17+2018x13+1<spanclass=′latex−bold′>(E)</span>2019x+2018<span class='latex-bold'>(A) </span> x^{19}+2018x^{11}+1 \qquad <span class='latex-bold'>(B) </span> x^{17}+2018x^{11}+1 \qquad <span class='latex-bold'>(C) </span> x^{19}+2018x^{13}+1 \qquad <span class='latex-bold'>(D) </span> x^{17}+2018x^{13}+1 \qquad <span class='latex-bold'>(E) </span> 2019x+2018
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