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.
\(\{-3,-1,0,1,3\}\)
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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