নিচের কোনটি a3 - 6a2 + 11a - 6 এর একটি উৎপাদক নয়?
Solution
Correct Answer: Option C
a3 - 6a2 + 11a - 6
= a3 - a2 - 5a2 + 5a + 6a - 6
= a2(a - 1) - 5a(a - 1) + 6(a - 1)
= (a - 1)(a2 - 5a + 6)
= (a - 1) (a2 - 3a - 2a + 6)
= (a - 1) {a(a - 3) - 2(a - 3)}
= (a - 1)(a - 2)(a - 3)
= a3 - a2 - 5a2 + 5a + 6a - 6
= a2(a - 1) - 5a(a - 1) + 6(a - 1)
= (a - 1)(a2 - 5a + 6)
= (a - 1) (a2 - 3a - 2a + 6)
= (a - 1) {a(a - 3) - 2(a - 3)}
= (a - 1)(a - 2)(a - 3)
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