Multiple Choice Questions on What is the HCF of the polynomials x4 ndash 3x 2 x3 ndash 3x2 3x ndash 1 and x4 ........... for Haryana Patwari Exam Preparation

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Multiple Choice Questions

What is the HCF of the polynomials x4 ndash 3x 2 x3 ndash 3x2 3x ndash 1 and x4 ...........

Quantitative Aptitude (Hr Patwari ) Algebra
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    What is the HCF of the polynomials x4 – 3x + 2, x3 – 3x2 + 3x – 1 and x4 – 1?

    x - 1

    Correct Answer

    x + 1

    Incorrect Answer

    x2 – 1

    Incorrect Answer

    None of these

    Incorrect Answer
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    Explanation:

    Let f(x)  =  x4 – 3x + 2
    = (x – 1) (x3 + x2 + x – 2)
    g(x)  =  x3 – 3x2 + 3x – 1 = (x – 1)3
    and h(x)  =  x4 – 1 = (x – 1) (x + 1) (x2 + 1)
    ∴ HCF of  [f(x), g(x), h(x)]  =  (x – 1)
     

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