2025 NASS P2 Q3

2025 NASS P2 Q3

Secondary 4
6 marks
  1. Express \(\dfrac{2x^3+12x^2+14x+5}{x(x+1)^2}\) in the form \(p+\dfrac{qx^2+rx+s}{x(x+1)^2}\).[1]
  2. Hence express \(\dfrac{2x^3+12x^2+14x+5}{x(x+1)^2}\) in partial fractions.[5]

Solution:

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Answer:(a) \(2+\dfrac{8x^2+12x+5}{x(x+1)^2}\); (b) \(2+\dfrac5x+\dfrac3{x+1}-\dfrac1{(x+1)^2}\).

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