text: Students can Download Basic Maths Exercise 5.1 Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
  
  ## Karnataka 2nd PUC Basic Maths Question Bank Chapter 5 Partial Fractions Ex 5.1
  
  Part – A
  
  2nd PUC Basic Maths Partial Fractions Ex 5.1 Two or Three Marks Questions and Answers
  
  Question 1.
  Express the following as a sum of polunomial and proper rational fraction ; $$\frac{x^{2}+x+1}{x^{2}-1}$$
  
  Question 2.
  $$\frac{3 x^{2}-4 x+7}{x+7}$$
  
  Question 3.
  $$\frac{x^{2}-1}{x^{2}+1}$$
  
  Question 4.
  $$\frac{5 x^{2}}{x^{2}+4 x+3}$$
  
  Question 5.
  $$\frac{x^{4}}{(x-1)\left(x^{2}+1\right)}$$
  $$\frac{4 x^{3}-2 x^{2}+3 x+1}{2 x^{2}+4 x-1}$$
  $$\frac{4 x^{2}-4 x-1}{2 x-1}$$
  $$\frac{x^{3}+7}{x^{2}-2 x+1}$$
explanation: The document is a set of math questions from a 2nd PUC Basic Maths Question Bank, specifically from the chapter on Partial Fractions. It contains multiple questions that ask the student to express given rational functions as a sum of a polynomial and a proper rational fraction. There are no answers provided for these questions.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Students can Download Basic Maths Exercise 5.1 Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
  
  ## Karnataka 2nd PUC Basic Maths Question Bank Chapter 5 Partial Fractions Ex 5.1
  
  Part – A
  
  2nd PUC Basic Maths Partial Fractions Ex 5.1 Two or Three Marks Questions and Answers
  
  Question 1.
  Express the following as a sum of polunomial and proper rational fraction ; $$\frac{x^{2}+x+1}{x^{2}-1}$$
  
  Question 2.
  $$\frac{3 x^{2}-4 x+7}{x+7}$$
  
  Question 3.
  $$\frac{x^{2}-1}{x^{2}+1}$$
  
  Question 4.
  $$\frac{5 x^{2}}{x^{2}+4 x+3}$$
  
  Question 5.
  $$\frac{x^{4}}{(x-1)\left(x^{2}+1\right)}$$
  $$\frac{4 x^{3}-2 x^{2}+3 x+1}{2 x^{2}+4 x-1}$$
  $$\frac{4 x^{2}-4 x-1}{2 x-1}$$
  $$\frac{x^{3}+7}{x^{2}-2 x+1}$$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a set of math questions from a 2nd PUC Basic Maths Question Bank, specifically from the chapter on Partial Fractions. It contains multiple questions that ask the student to express given rational functions as a sum of a polynomial and a proper rational fraction. There are no answers provided for these questions.
  
  Label: multiple-question