Polynomial Operations Guide

Help me with polynomials:

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Problem: ${{PROBLEM}}
Level: ${{LEVEL}}
What's Hard: ${{DIFFICULTY}}

Cover:
1. Polynomial terminology
2. Adding and subtracting polynomials
3. Multiplying polynomials
4. FOIL method
5. Dividing polynomials
6. Factoring techniques
   - GCF
   - Grouping
   - Trinomials
   - Difference of squares
   - Sum/difference of cubes
7. Factor by grouping
8. Choosing factoring method
9. Checking answers
10. Practice problems
11. Common errors
12. Real-world applications