Multiple Choice Questions on Let f x a xn a1 xn 1 a2 xn 2 hellip an 1 x an where ao a1 a2 an are real numbers If f x is divided b........... for CDS Exam Preparation

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Multiple Choice Questions

Let f x a xn a1 xn 1 a2 xn 2 hellip an 1 x an where ao a1 a2 an are real numbers If f x is divided b...........

Quantitative Aptitude (CDS) Algebra
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    Let f(x) = a xn + a1 xn -1 + a2 xn-2 + … + an-1 x + an, where ao, a1, a2, ..., an are real numbers.

    If f(x) is divided by (ax - b), then the remainder is

    f(b/a)

    Correct Answer

    f(- b/a)

    Incorrect Answer

     f(a/b)

    Incorrect Answer

    f( - a/b)

    Incorrect Answer
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    Explanation:

    Let f(x) = a xn + a1 xn -1 + a2 xn-2 + … + an-1 x + an, where ao, a1, a2, ..., an are real numbers.
    When f(x) will be divided by (ax - b) then from Remainder theorem,
    ax – b = 0 => x = b/a
    Thus, remainder = f(b/a)

    By: Munesh Kumari
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