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Divide: \(a^{3x} - 26a^{2x} + 156a^{x} - 216\) by \(a^{2x} - 24a^{x} + 108\).

Mathematics
JAMB 2001

Divide: \(a^{3x} - 26a^{2x} + 156a^{x} - 216\) by \(a^{2x} - 24a^{x} + 108\).

  • A. ax - 2
  • B. ax + 2
  • C. ax - 8
  • D. ax - 6
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Correct Answer: Option A
Explanation

\(\frac{a^{3x} - 26a^{2x} + 156a^{x} - 216}{a^{2x} - 24a^{x} + 108}\)

Let \(a^{x} = z\)

\(\therefore = \frac{z^{3} - 26z^{2} + 156z - 216}{z^{2} - 24y + 108} ... (i)\)

Dividing (i) above, we get \(z - 2\)

= \(a^{x} - 2\)

There is an explanation video available below.


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Explanation Video

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