SPS SPS SM Pure 2023 September — Question 13

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2023
SessionSeptember
TopicProof

13. Prove or disprove each of the following statements:
  1. If \(n\) is an integer, then \(3 n ^ { 2 } - 11 n + 13\) is a prime number.
  2. If \(x\) is a real number, then \(x ^ { 2 } - 8 x + 17\) is positive.
  3. If \(p\) and \(q\) are irrational numbers, then \(p q\) is irrational.
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