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What is the result of dividing \[x^{2}+1\] by \[x^{2}-5x+6\]?

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Question

What is the result of dividing \[x^{2}+1\] by \[x^{2}-5x+6\]?

Options

  • \[x+\frac{5x-5}{x^{2}-5x+6}\]

  • \[1+\frac{5x-5}{x^{2}-5x+6}\]

  • \[1-\frac{5x-5}{x^{2}-5x+6}\]

  • \[\frac{5x-5}{x^{2}-5x+6}\]

MCQ
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Solution

Subtracting \[x^{2}-5x+6\] from \[x^{2}+1\] gives the remainder \[5x-5\]. Therefore, the quotient is \[1\] with the stated remainder fraction.

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