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What is the remainder of (x² + 4x 5) (x 3)?

To find the remainder when (x² - 4x + 5) is divided by (x - 3), we can use the Remainder Theorem. The Remainder Theorem states that if a polynomial P(x) is divided by (x - c), then the remainder is P(c).

In this case, P(x) = x² - 4x + 5 and c = 3. So we substitute x = 3 into the polynomial:

P(3) = (3)² - 4(3) + 5 = 9 - 12 + 5 = 2

Therefore, the remainder is $\boxed{2}$.

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