MathDB
P12 [Algebra] - Turkish NMO 1st Round - 2004

Source:

November 16, 2013

Problem Statement

What is the least value of (x−1)(x−2)(x−3)(x−4)(x-1)(x-2)(x-3)(x-4) where xx is a real number?
<spanclass=′latex−bold′>(A)</span> −14<spanclass=′latex−bold′>(B)</span> −13<spanclass=′latex−bold′>(C)</span> −12<spanclass=′latex−bold′>(D)</span> −1<spanclass=′latex−bold′>(E)</span> −2 <span class='latex-bold'>(A)</span>\ -\dfrac 14 \qquad<span class='latex-bold'>(B)</span>\ - \dfrac 13 \qquad<span class='latex-bold'>(C)</span>\ -\dfrac 12 \qquad<span class='latex-bold'>(D)</span>\ -1 \qquad<span class='latex-bold'>(E)</span>\ -2
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