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2026 NYGH P2 Q1

2026 NYGH P2 Q1

IP 4
4 marks
  1. The polynomial \(\mathrm{f}\) is defined as \(\mathrm{f}(x)=5x^6-4x^2+3x+10\). Find the remainder when \(\mathrm{f}(x)\) is divided by \((x+1)\).[2]
  2. State two successive geometrical transformations which would transform the graph of \(y=\mathrm{e}^x\) into the graph of \(y=-\mathrm{e}^{x-8}\).[2]

Solution:

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Answer:(a) \(8\) (b) Reflection in the \(x\)-axis, followed by a translation of \(8\) units in the positive \(x\)-direction.

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