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Polynomial Division: Practice Problems

Simplify the following division-type expressions:

1. [pic] 2. [pic] 3. [pic]

4. [pic] 5. [pic] 6. [pic]

Use long division to find the quotient and remainder of the following:

7. [pic] 8. [pic]

9. [pic] 10. [pic]

11. Why must we use long division to simplify the # 7-10?

Use synthetic division to find the quotient and remainder of the following:

12. [pic] divided by [pic].

13. [pic] divided by [pic]

14. [pic] divided by [pic]

15. [pic] divided by [pic]

16. [pic] divided by [pic]

17. For #12-16, why are we allowed to use synthetic division?

In the following, show that second polynomial is a factor of the first.

18.[pic]; [pic] 19. [pic]; [pic]

20. [pic]; [pic] 21. [pic]; [pic]

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