Subject

    Quantitative Aptitude

    Topic

    Number

    The HCF of two polynomials is (a + 3) and their LCM is a3- 7a + 6. If one of the polynomial is  a2+ 2a – 3, find the other polynomial.

    ক)
    a2+ a – 6
    খ)
    a2– a – 6
    গ)
    a2+ 2a – 6
    ঘ)
    a2– 2a – 6
    ঙ)
    None of the above

    Explanation

    a 3 – 7a + 6 = (a – 1)(a + 3)(a – 2) a 2 + 2a – 3 = (a – 1)(a + 3) We know that, HCF × LCM = Product of polynomials ⇒ (a + 3) × (a – 1)(a + 3)(a – 2) = Polynomial × (a – 1)(a + 3) ⇒ Polynomial = (a + 3)(a – 2) = a 2 + a – 6

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