Algebraic Expression Exploration
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Questions and Answers

For $n extgreater=2$, what is the value of $n^3 - 2n + 1$?

  • $n^3 - 2n + 1$ is always less than 1
  • $n^3 - 2n + 1$ is always a prime number
  • $n^3 - 2n + 1$ is always a perfect square
  • $n^3 - 2n + 1$ is always greater than or equal to 1 (correct)

    • What can be said about the nature of $n^3 - 2n + 1$ for $n extgreater=2$?

  • $n^3 - 2n + 1$ is always a prime number
  • $n^3 - 2n + 1$ is always a multiple of 3
  • $n^3 - 2n + 1$ is always an even number
  • $n^3 - 2n + 1$ is always an odd number (correct)

    • What is the relationship between $n^3 - 2n + 1$ and $n$ for $n extgreater=2$?

  • The value of $n^3 - 2n + 1$ is always a multiple of $n$
  • The value of $n^3 - 2n + 1$ is always equal to $n$
  • The value of $n^3 - 2n + 1$ is always less than $n$
  • The value of $n^3 - 2n + 1$ is always greater than $n$ (correct)

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