Multiple Choice Questions on if 5x3 5x2 6x 9 is divided by x 3 then the remainder is ........ for CDS Exam Preparation

Quadratic Equations

Quantitative Aptitude (CDS) CDS Exam

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Study Notes

    if 5x3 + 5x2 - 6x + 9 is divided by (x + 3), then the remainder is

    135

    Incorrect Answer

     -135

    Incorrect Answer

     63

    Incorrect Answer

     -63

    Correct Answer
    Explanation:

    Let f(x) =5x3 + 5x2 - 6x + 9 and g(x) = x+3
    To find the remainder g(x) should be equal to zero
    Therefore g(x) = x+3 => x = -3
    Putting this value in f(x) we get
    f(x) = 5(−3)3+5(−3)2−6(−3)+9
    f(x) = - 63


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