MathDB
P08 [Algebra] - Turkish NMO 1st Round - 2003

Source:

May 14, 2014
algebrapolynomial

Problem Statement

Let PP be a polynomial such that (x−4)P(2x)=4(x−1)P(x)(x-4)P(2x) = 4(x-1)P(x), for every real xx. If P(0)≠0P(0) \neq 0, what is the degree of PP?
<spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ 1 \qquad<span class='latex-bold'>(C)</span>\ 2 \qquad<span class='latex-bold'>(D)</span>\ 3 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
Back to ProblemsView on AoPS