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The polynomial f(x) leaves a remainder of -19 when divided by x + 2 and a remainder of 2 when divided by x - 1.

The polynomial f(x) leaves a remainder of -19 when divided by x + 2 and a remainder of 2 when divided by x - 1. What will the degree of the remainder be if f(x) is divided by (x - 1)(x + 2)? Explain.

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