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Partial fractions

4 Class 10 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. Partial fractions of 1 / (x (x + 1)) are:

    • 1 1/x - 1/(x + 1)
    • 2 2/x
    • 3 x - (x + 1)
    • 4 1/x + 1/(x + 1)
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    Correct answer: 1/x - 1/(x + 1)

    1/x - 1/(x + 1) = ((x + 1) - x) / (x(x + 1)) = 1 / (x(x + 1)).

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  2. A fraction is proper when the degree of the numerator is:

    • 1 Zero always
    • 2 Equal to the denominator's
    • 3 Less than the degree of the denominator
    • 4 Greater than the denominator's
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    Correct answer: Less than the degree of the denominator

    In a proper fraction the numerator has the lower degree.

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  3. (x + 3) / ((x + 1)(x + 2)) = A/(x + 1) + B/(x + 2). What is A?

    • 1 3
    • 2 2
    • 3 -1
    • 4 1
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    Correct answer: 2

    Put x = -1: A = (-1 + 3) / (-1 + 2) = 2.

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  4. (x + 3) / ((x + 1)(x + 2)) = A/(x + 1) + B/(x + 2). What is B?

    • 1 -1
    • 2 2
    • 3 1
    • 4 -2
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    Correct answer: -1

    Put x = -2: B = (-2 + 3) / (-2 + 1) = -1.

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