2023 KSS P1 Q4

2023 KSS P1 Q4

Secondary 4
5 marks

The polynomial \(\mathrm f(x)\) is given by \(\mathrm f(x)=2x^3+5x^2-4x-3\).

  1. Divide \(\mathrm f(x)\) by \(x+3\).[2]
  2. What can you deduce about \(x+3\)?[1]
  3. Solve the equation \(\mathrm f(x)=0\).[2]

Solution:

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Answer:(i) \(2x^2-x-1\), remainder 0. (ii) A factor. (iii) \(-3,-\dfrac12,1\).

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