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Question
Divide:
x2 − 5x + 6 by x − 3
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Solution
\[\frac{x^2 - 5x + 6}{x - 3}\]
\[ = \frac{x^2 - 3x - 2x + 6}{x - 3}\]
\[ = \frac{x(x - 3) - 2(x - 3)}{(x - 3)}\]
\[ = \frac{(x - 3)(x - 2)}{(x - 3)}\]
\[ = x - 2\]
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