Question: 27. Using synthetic division divide the polynomial P(x) = x3 - 3x2 + 4x - 1 by x - 3. State the quotient and remainder.

27. Using synthetic division divide the polynomial P(x) = x3 - 3x2 + 4x - 1 by x - 3. State the quotient and remainder. [3 marks] 28. When P(x) = x3 + ax - bx - 10 is divided by x - 3, the remainder is 32, and when divided by x + 1, the remainder is -4. Find the values of a and b. [4 marks] (Hint: Recall systems of linear equations)

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