Advanced Higher Mathematics Practice Questions - Scottish Advanced Higher Mathematics (C847 77) Exam

Express the improper fraction (x^3 + x + 1)/(x^2 + 1) in the form quotient + remainder/(x^2 + 1).

x + 1/(x^2 + 1) x + x/(x^2 + 1) x^2 + 1/(x^2 + 1) 1 + x/(x^2 + 1)

Correct Answer:

x + 1/(x^2 + 1)

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