The remainder theorem states that the remainder of the division of a polynomial

1. Which of the following are factors of P(x) = x^{3} - 3x^{2} + x - 3:

2. Which of the following are factors of P(x) = x^{4} + 10x^{3} + 8x^{2} - 8x + 9:

3. Which of the following are factors of P(x) = x^{45} + x^{44} - x^{23} - x^{22}:

4. The polynomial P(x) = x^{3} + mx^{2} - 4x - 9 leaves a reminder of -8 when divided by x - 1. What is the value of m?

5. Use the Remainder Theorem to find the remainder:

6. Use the Remainder Theorem to find the remainder:

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