MathDB

27

Part of 2010 National Olympiad First Round

Problems(1)

Turkey NMO 2010 1st Round - P27 (Algebra)

Source:

7/27/2012
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}
algebrapolynomialinequalitiesvector