Problem 1 Show that a +1 is composite if a and m are integers greater than 1, and m is odd. Hint: Show that (x + 1) is a factor of (am + 1) when m is odd. Solution: 1

Advanced Engineering Mathematics
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**Problem 1:** Show that \(a^m + 1\) is composite if \(a\) and \(m\) are integers greater than 1, and \(m\) is odd.
**Hint:** Show that \((x + 1)\) is a factor of \((x^m + 1)\) when \(m\) is odd.

**Solution:**
Transcribed Image Text:**Problem 1:** Show that \(a^m + 1\) is composite if \(a\) and \(m\) are integers greater than 1, and \(m\) is odd. **Hint:** Show that \((x + 1)\) is a factor of \((x^m + 1)\) when \(m\) is odd. **Solution:**
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