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2025 DSS PRELIMS P2 Q8

2025 DSS PRELIMS P2 Q8

Secondary 4
8 marks
  1. Using long division, divide \(2x^3-7x^2+2x+3\) by \(2x-4\).[2]
  2. Solve \(2x^3-7x^2+2x+3=0\).[4]
  3. Kun Ye claims that the solutions to the equation \(2x^3-7x^2+2x+3=0\) can be used to solve \(3y^6+2y^4-7y^2+2=0\). Explain how he is correct.[2]

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Answer:(a) \(\displaystyle x^2-\frac{3}{2}x-2-\frac{5}{2x-4}\) (b) \(x=-\frac{1}{2},1,3\) (c) \(y=\pm1,\pm\frac{1}{\sqrt3}\)

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