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What is the quotient of $\frac{x^{2} - 5 x + 6}{x - 2}$ ?

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x - 3

x - 4

x + 3

x - 2

answer is A.

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Detailed Solution

First, we will multiply by

x

, so that

x^{2}

can be cancelled.

{"mathml":"<math class="image_resized" style="width:126px;height:112px"><span>Now, can multiply </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mn>2</mn></math><span> by </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math><span>.</span><br><span>So, </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>(</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo></math><span> gives </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>6</mn></math><span> which can further be cancelled out.</span><br><img 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" width="115" height="200" alt=

Hence, the value of

\frac{x^{2} - 5 x + 6}{x - 2} = x - 3

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