Name:      
Date:      
School:      
Facilitator:       4.04 Remainder and Factor Theorem
Find the remainder using the remainder theorem and check using synthetic division. You
must show your work on both.
1. x3 - 2x2 + 5x - 6 divided by x - 3 Remainder:      
Show your work:
Remainder Theorem Synthetic Division 2. -2x4 - 6x2 + 3x + 1 divided by x + 1 Remainder:      
Show your work:
Remainder Theorem Synthetic Division 3. x5 + 2x4 - 3x + 3 divided by x - 1 Remainder:      
Show your work:
Remainder Theorem Synthetic Division Use the Factor Theorem to determine if the first polynomial is a factor of the second polynomial.
Show your work.
4. Is (x - 3) a factor of 2x3 - 11x2 + 12x + 9?
Answer:      
Show your work:      
5. Is (x - 2) a factor of x3 + 2x2 - 5x - 6?
Answer:      
Show your work:      
6. Is (x + 2) a factor of x4 - 3x - 5?
Answer:       Show your work:      
7. Is (x - 5) a factor of 3x3 - 12x2 - 11x - 20?
Answer:      
Show your work:      
8. Is (x + 3) a factor of 2x4 + 5x3 - 2x2 + 5x + 3?
Answer:      
Show your work:      

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