Let’s resolve into factors:
ax2-(a2 + 1)x + a
ax2-(a2 + 1)x + a
=ax2-a2x-x + a
=ax(x-a)-1(x-a)
=(ax-1)(x-a)
∴ the factors of ax2-(a2 + 1)x + a are (ax-1)(x-a)
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