Q3 A of 52 Page 131

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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