Solution
Correct Answer: Option D
a = 3 হলে,
a3 - 4a + 3
= 33 - 4 × 3 + 3
= 27 - 12 + 3
= 18 ≠ 0
a3 + a - 24
= 33 + 3 - 24
= 27 + 3 - 24
= 6 ≠ 0
a3 + 3a - 36
=33 + 3 × 3 - 36
= 27 + 9 - 36
= 0
3a2 + 2a - 31
= (3 × 32) + (2 × 3) - 31
= 27 + 6 - 31
= 2 ≠ 0
∴ (a - 3), a3 + 3a - 36 এর একটি উৎপাদক।