Multiple Choice Questions on The quantity which must be added to 1 ndash x 1 x2 to obtain x3 is ........ for Common University Entrance Test (CUET) Preparation

Algebra

Quantitative Aptitude (CUET)

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    The quantity which must be added to (1 – x) (1 + x2) to obtain x3 is:
    2x3 + 3x2 + x + 1
    Incorrect Answer
    2x3 + x2 + x – 1
    Incorrect Answer
    2x3 – x2 + x – 1
    Correct Answer
    –x2 + x – 1
    Incorrect Answer
    Explanation:

    f(x) = (1 – x)(1 + x2) = 1 + x2 – x – x3
    So,  2x3 – x2 + x – 1  is added to  1 + x2 – x – x to obtain x3.


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