What are all integers $$\(n\)$$ for which $$\(P^{2}(n)\)$$ is the square of a prime number, where $$\(P(n)=n^{3}-n^{2}-5 n+2^{n} ?\)$$

A.
\(\{-2,0,2\}\)
B.
\(\{-3,-1,1,3\}\)
C.
\(\{0,1,3\}\)
D.
\(\{-3,-1,0,1,3\}\)
Mathematics
Competition
Math League
Exam No:2019 First Round Grades 10-12 Year:2019 Question No:29

Answer:

D

Knowledge points:

G10-12 - Number Theory - Prime Factorization (Reasoning)

Solution:

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