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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{a^{3x} - 26a^{2x} + 156a^{x} - 216}{a^{2x} - 24a^{x} + 108}\)
Let \(a^{x} = z\)
\(\therefore = \frac{z^{3} - 26z^{2} + 156z - 216}{z^{2} - 24y + 108} ... (i)\)
Dividing (i) above, we get \(z - 2\)
= \(a^{x} - 2\)
Source: Myschool Past Questions Archive (Record #1134)