2026 GESS P1 Q3

2026 GESS P1 Q3

Secondary 4
7 marks
  1. Factorise completely the cubic polynomial \(2x^3-128\).[2]
  2. Express \(\dfrac{5x^2-18x+40}{2x^3-128}\) as the sum of 2 partial fractions.[5]

Solution:

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Answer:(a) \(2(x-4)(x^2+4x+16)\). (b) \(\dfrac1{2(x-4)}+\dfrac{2x-3}{x^2+4x+16}\).

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