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: