Home › AP EAPCET (Engineering) › Mathematics › Algebra: Partial Fractions › Divide and decompose (x^2+1)/(x-1).
Divide and decompose (x^2+1)/(x-1).
Ax + 2/(x-1)
Bx + 1 + 1/(x-1)
Cx - 1 + 2/(x-1)
Dx + 1 + 2/(x-1)
Answer & Solution
Correct answer: D. x + 1 + 2/(x-1)
Long division gives quotient x+1 with remainder 2, since (x+1)(x-1) = x^2-1.
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