Multiple Choice Questions on The remainder when 3x3 minus 2x2 y minus 13xy2 10y3 is divided by x minus 2y is equal to ........ for CDS Exam Preparation

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Multiple Choice Questions

The remainder when 3x3 minus 2x2 y minus 13xy2 10y3 is divided by x minus 2y is equal to ........

Quantitative Aptitude (CDS) Number System
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    The remainder when 3x3 − 2x2 y −13xy2 + 10y3 is divided by (x − 2y) is equal to

    Zero

    Correct Answer

    y

    Incorrect Answer

     y − 5

    Incorrect Answer

    y + 3

    Incorrect Answer
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    Explanation:

    f(x)= 3x^{3} - 2x^{2}y-13xy^{2}+10y^{3}

    using remainder theorm

    x-2y = 0, x = 2y

    f(2y)= 3(2y)^{3} - 2(2y)^{2}y-13(2y)y^{2}+10y^{3}

    =24y^{3}-8y^{3}-26y^{3}+10y^{3} = 0

    By: Munesh Kumari
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