MCQs Partial Fractions Questions 2

The post is about MCQS Partial Fractions Questions with Answers. There are 20 multiple-choice questions from Chapter 5 Partial Fractions Intermediate Mathematics Part 1. Let us start with the MCQs Partial Fractions Questions Quiz with Answers now.

Online MCQs Partial Fractions Questions with Answers

1. Partial fraction of $\frac{x^2+1}{x^3+1}$ will be of the form

 
 
 
 

2. The quotient of two polynomials $\frac{P(x)}{Q(x)}, \,\,Q(x)\ne 0$ with no common factor is called

 
 
 
 

3. Partial fraction of $\frac{1}{x(x+1)}$ are of the form

 
 
 
 

4. Partial fraction of $\frac{1}{x^2-1} =$

 
 
 
 

5. An equation which holds good for all values of the variable is called

 
 
 
 

6. A fraction in which the degree of numerator is greater than or equal to the degree of denominator is called

 
 
 
 

7. Which is ta reducible factor

 
 
 
 

8. Types of rational fractions are

 
 
 
 

9. Number of partial fractions of the fraction $\frac{1}{x(x-1)^3$ are

 
 
 
 

10. The function of the form $f(x) = \frac{p(x)}{q(x)}$ where $q(x)\ne 0$  and $p(x), q(x)$ are polynomials, is called

 
 
 
 

11. Expressing a rational function as a sum of partial fractions is called

 
 
 
 

12. A quadratic factor which can not be written as a product of linear factors with real coefficients is called

 
 
 
 

13. If $\frac{x^2 – 10x + 13}{(x-1)(x^2-5x+6)} = \frac{A}{x-2} + \frac{B}{x-3} + \frac{C}{x-1}$ then $C$ is equal to

 
 
 
 

14. If $\frac{2x^2+x^2-x-3}{x(2x+3)(x-1)} = \frac{A}{x} + \frac{B}{2x+3} + \frac{C}{x-1} $ then $A$ is equal to

 
 
 
 

15. If $\frac{1}{(x+1)^2(x^2-1)} = \frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{(x+1)^2} + \frac{D}{(x+1)^3}$ then $A=$

 
 
 
 

16. Partial fractions of $\frac{x^2+1}{(x-1)(x+1)}$ are of the form

 
 
 
 

17. Conditional equation $2x+3=0$ holds when $x$ is equal to

 
 
 
 

18. A conditional equation is also called

 
 
 
 

19. The partial fractions of $\frac{1}{(x+1)(x-1)}$ are

 
 
 
 

20. An equation in which two algebraic expressions are equal for particular values of the variable is called

 
 
 
 

MCQs Partial Fractions Questions with Answers

  • If $\frac{x^2 – 10x + 13}{(x-1)(x^2-5x+6)} = \frac{A}{x-2} + \frac{B}{x-3} + \frac{C}{x-1}$ then $C$ is equal to
  • If $\frac{2x^2+x^2-x-3}{x(2x+3)(x-1)} = \frac{A}{x} + \frac{B}{2x+3} + \frac{C}{x-1} $ then $A$ is equal to
  • Partial fractions of $\frac{x^2+1}{(x-1)(x+1)}$ are of the form
  • If $\frac{1}{(x+1)^2(x^2-1)} = \frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{(x+1)^2} + \frac{D}{(x+1)^3}$ then $A=$
  • A quadratic factor which can not be written as a product of linear factors with real coefficients is called
  • Which is ta reducible factor
  • Partial fraction of $\frac{1}{x^2-1} =$
  • Partial fraction of $\frac{x^2+1}{x^3+1}$ will be of the form
  • Number of partial fractions of the fraction $\frac{1}{x(x-1)^3$ are
  • Conditional equation $2x+3=0$ holds when $x$ is equal to
  • The quotient of two polynomials $\frac{P(x)}{Q(x)}, \,\,Q(x)\ne 0$ with no common factor is called
  • The partial fractions of $\frac{1}{(x+1)(x-1)}$ are
  • The function of the form $f(x) = \frac{p(x)}{q(x)}$ where $q(x)\ne 0$  and $p(x), q(x)$ are polynomials, is called
  • A fraction in which the degree of numerator is greater than or equal to the degree of denominator is called
  • Types of rational fractions are
  • A conditional equation is also called
  • An equation which holds good for all values of the variable is called
  • Expressing a rational function as a sum of partial fractions is called
  • An equation in which two algebraic expressions are equal for particular values of the variable is called
  • Partial fraction of $\frac{1}{x(x+1)}$ are of the form
Online MCQs Partial Fractions Questions with Answers

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