Subject

    গাণিতিক যুক্তি

    Topic

    উৎপাদক

    a3- 7a - 6 এর উৎপাদক কত?

    ক)
    (a + 1)(a - 2)(a - 3)
    খ)
    (a - 1)(a + 2)(a - 3)
    গ)
    (a + 1)(a + 2)(a - 3)
    ঘ)
    (a - 1)(a - 2)(a - 3)

    Explanation

    a 3 - 7a - 6 = a 3 + a 2 - a 2 - a - 6a - 6 = a 2 (a + 1) - a (a + 1) - 6 (a + 1) = (a + 1) (a 2 - a - 6) = (a + 1) (a 2 - 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)

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