2024 GESS PRELIMS P1 Q2

2024 GESS PRELIMS P1 Q2

4 marks
  1. Factorise \(64 - (x + 1)^3\).[2]
  2. Hence, solve \(64 - (x + 1)^3 = 15(3 - x)\), expressing non-integer roots in surd form.[2]

Solution:

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Answer:(a) \((3-x)(x^2+6x+21)\) (b) \(x=3\), \(-3+\sqrt3\), \(-3-\sqrt3\).

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