a3 - 7a - 6 এর উৎপাদক কত?

a³ - 7a - 6 এর উৎপাদক কত?

A (a + 1)(a - 2)(a - 3)

B (a - 1)(a + 2)(a - 3)

C (a + 1)(a + 2)(a - 3)

D (a - 1)(a - 2)(a - 3)

Solution

Correct Answer: Option C

a³ - 7a - 6
= a³ + a² - a² - a - 6a - 6
= a²(a + 1) - a (a + 1) - 6 (a + 1)
= (a + 1) (a² - a - 6)
= (a + 1) (a² - 3a + 2a - 6)
= (a + 1) {a (a - 3) + 2 (a -3)}
= (a + 1) (a - 3) (a + 2)

∴ নির্ণেয় উৎপাদক = (a + 1)(a + 2)(a - 3)

Solution

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