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Worksheet: Mixed Problems on Finding the Partial Fraction

Q1:

Express in partial fractions.

  • A
  • B
  • C
  • D
  • E

Q2:

Express in partial fractions.

  • A
  • B
  • C
  • D
  • E

Q3:

Express in partial fractions.

  • A
  • B
  • C
  • D
  • E

Q4:

Express in partial fractions.

  • A
  • B
  • C
  • D
  • E

Q5:

Express in partial fractions.

  • A
  • B
  • C
  • D
  • E

Q6:

Determine the partial fraction decomposition of .

  • A
  • B
  • C
  • D
  • E

Q7:

Find and such that .

  • A,
  • B,
  • C,
  • D,
  • E,

Q8:

Find and such that .

  • A,
  • B,
  • C,
  • D,
  • E,

Q9:

Find and such that

  • A,
  • B,
  • C,
  • D,
  • E,

Q10:

The expression can be written in the form . Find the values of and .

  • A
  • B
  • C
  • D
  • E

Q11:

The expression can be written in the form . Find the values of , and .

  • A
  • B
  • C
  • D
  • E

Q12:

Consider the rational expression . The following strategy reveals it as a sum of partial fractions.

What is the value of when ? Let us call this .

So, . What is ? Give the factored and simplified form.

  • A
  • B
  • C
  • D
  • E

Repeat the first step with and to find and so that . What, finally, is the partial fraction decomposition of ?

  • A
  • B
  • C
  • D
  • E