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Turkey NMO 2010 1st Round - P27 (Algebra)

Source:

July 27, 2012
algebrapolynomialinequalitiesvector

Problem Statement

Let PP be a polynomial with each root is real and each coefficient is either 11 or −1-1. The degree of PP can be at most ?
<spanclass=′latex−bold′>(A)</span> 5<spanclass=′latex−bold′>(B)</span> 4<spanclass=′latex−bold′>(C)</span> 3<spanclass=′latex−bold′>(D)</span> 2<spanclass=′latex−bold′>(E)</span> None <span class='latex-bold'>(A)</span>\ 5 \qquad<span class='latex-bold'>(B)</span>\ 4 \qquad<span class='latex-bold'>(C)</span>\ 3 \qquad<span class='latex-bold'>(D)</span>\ 2 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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