Exercises for Question Type 1: Applying partial fractions on linear factors on power of 1

Question 1

Skill question

Express $\frac{x + 2}{x ( x + 1 ) ( x + 3 )}$ in partial fractions.

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Question 2

Skill question

Express $\frac{- x + 6}{x ( x - 2 )}$ as partial fractions.

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Question 3

Skill question

Decompose $\frac{2 x ^{2} + 3 x + 1}{x ( x + 1 ) ( x + 2 )}$ into partial fractions.

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Question 4

Skill question

Decompose $\frac{x ^{2} - 1}{( x - 1 ) ( x + 2 ) ( x + 3 )}$ into partial fractions.

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Question 5

Skill question

Express $\frac{x}{( x + 4 ) ( x - 7 )}$ in partial fractions.

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Question 6

Skill question

Decompose $\frac{2 x + 3}{( x - 1 ) ( x + 2 )}$ into partial fractions.

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Question 7

Skill question

Express $\frac{3 x - 5}{( x - 2 ) ( x - 3 )}$ in partial fractions.

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Question 8

Skill question

Decompose $\frac{4 x + 7}{( 2 x - 1 ) ( x + 3 )}$ into partial fractions.

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Question 9

Skill question

Decompose $\frac{5 x - 4}{( 3 x + 1 ) ( x - 2 )}$ into partial fractions.

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Question 10

Skill question

Decompose the rational function into partial fractions: $\frac{3 x + 5}{( x - 1 ) ( x + 2 )}$

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Question 11

Skill question

Express $\frac{5 x + 2}{x ^{2} - 1}$ in partial fractions.

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IB Mathematics Analysis and Approaches Question Type 1: Applying Partial Fractions on Linear Factors on Power of 1 Exercises