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Partial Fractions /
Quiz 2

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HEC ETC - USAT CS Entry Test - Mathematics - Partial Fractions - Quiz 2

Practice 10 high yield MCQs on Mathematics from Chapter Partial Fractions for USAT CS Entry Test. After submission, get instant results with correct answers and detailed explanations. This is Quiz 2 of the series.

11. What is the partial fraction form of (x + 1)/(x - 1)²?

A/(x - 1)
A/(x - 1) + B/(x - 1)²
B/(x - 1)²
A/(x - 1) + B/(x - 1)³

12. What are A and B for (2x + 1)/(x - 1)²?

A = 2, B = 1
A = 2, B = 3
A = 2, B = 3
A = 1, B = 3

13. What is the partial fraction form of (x² + 1)/(x - 1)³?

A/(x - 1) + B/(x - 1)²
A/(x - 1)³
A/(x - 1)² + B/(x - 1)³
A/(x - 1) + B/(x - 1)² + C/(x - 1)³

14. What is the partial fraction form for (x + 2)²?

A/(x + 2) + B/(x + 2)²
A/(x + 2)
B/(x + 2)²
A/(x + 2)² + B/(x + 2)³

15. What is the numerator form for an irreducible quadratic factor?

Ax + B
A
Ax² + Bx
B

16. What is the partial fraction form of (x + 1)/(x² + x + 1)?

A/(x² + x + 1)
Ax + B/(x² + x + 1)
Ax/(x² + x + 1)
B/(x² + x + 1)

17. What is the partial fraction form of (x² + 1)/[(x + 1)(x² + 1)]?

A/(x + 1) + B/(x² + 1)
A/(x + 1) + (Bx + C)/(x² + 1)
A/(x + 1) + (Bx + C)/(x² + 1)
(Ax + B)/(x + 1) + (Cx + D)/(x² + 1)

18. What is the partial fraction of (2x + 1)/(x² + 1)?

A/(x² + 1)
Ax/(x² + 1)
B/(x² + 1)
(2x + 1)/(x² + 1)

19. What method is used to find constants in partial fractions?

Cover-up method
Differentiation
Integration
Factorization

20. Using cover-up, what are A and B for (2x + 1)/[(x + 1)(x + 2)]?

A = 1, B = -3
A = -1, B = 3
A = -1, B = -3
A = 1, B = 3

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Instructions: Select one answer per question. After submitting, you will see your score, correct answers, and explanations.

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