4 Days Timetable: Polynomials

# 4 Days Timetable: Polynomials | Mathematics (Maths) Class 10 PDF Download

 Table of contents Day 1: Introduction Day 2: Geometrical Meaning of the Zeroes of a Polynomial Day 3: Relationship between Zeroes and Coefficients of a Polynomial Day 4: Revision and Practice

The chapter on "Polynomials" is a crucial topic in Class 10 Mathematics and plays a significant role in the board exams. A strong understanding of this chapter is essential, as it forms the foundation for various algebraic concepts in higher classes. In this study plan, we'll cover the key topics systematically to ensure a thorough grasp of the subject matter.

Note: You can adjust the timetable based on your pace, but maintain the sequence of topics for effective learning.

### Topics to Cover

Before we dive into the study plan, let's outline the topics we will be covering in this chapter:

1. Introduction
2. Geometrical Meaning of the Zeroes of a Polynomial
3. Relationship between Zeroes and Coefficients of a Polynomial

## Day 1: Introduction

• Begin your study of polynomials by understanding the fundamental concepts.
• Explore the definition of a polynomial and its various components.
• Learn about degrees and types of polynomials, including linear, quadratic, cubic, etc.

Study Tip: Utilize the Introduction to Polynomials resources on EduRev to enhance your understanding of this topic.

## Day 2: Geometrical Meaning of the Zeroes of a Polynomial

• Delve into the geometrical interpretation of polynomial zeroes.
• Understand the relationship between the zeroes of a polynomial and its graph.
• Practice solving problems related to the geometric meaning of zeroes.

Study Tip: Refer to the chapter notes on Geometrical Meaning of the Zeroes of a Polynomial on EduRev for detailed explanations and examples.

## Day 3: Relationship between Zeroes and Coefficients of a Polynomial

• Explore Vieta's formulas to establish relationships between the zeroes and coefficients of a polynomial.
• Learn how to find the sum and product of zeroes.
• Practice solving polynomial equations using these relationships.

Study Tip: Enhance your understanding of the relationship between zeroes and coefficients by referring to Polynomials resources on EduRev.

## Day 4: Revision and Practice

• Review all the topics covered in the previous three days.
• Solve practice questions and numerical problems related to polynomials.
• Test your understanding by attempting various question types, including:

These resources will help you assess your understanding of the topics and prepare you effectively for the Class 10 board exams. Remember to consistently refer to the NCERT textbook and solve NCERT questions for a solid foundation.

Here are the important links and topic links for the "Polynomials" chapter categorized by their types:

You can use these categorized links for easy access to the specific resources and materials you need for your study and preparation of the "Polynomials" chapter in Class 10 Mathematics.

Happy studying!

The document 4 Days Timetable: Polynomials | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

## FAQs on 4 Days Timetable: Polynomials - Mathematics (Maths) Class 10

 1. What is the geometrical meaning of the zeroes of a polynomial?
Ans. The geometric meaning of the zeroes of a polynomial refers to the points where the polynomial intersects the x-axis on a graph. These points represent the values of x for which the polynomial equation equals zero. In other words, they are the x-coordinates of the points where the graph of the polynomial crosses the x-axis.
 2. How do the zeroes of a polynomial relate to its coefficients?
Ans. The relationship between the zeroes of a polynomial and its coefficients can be understood through Vieta's formulas. Vieta's formulas state that the sum of the zeroes of a polynomial is equal to the negation of the coefficient of the second highest power term divided by the coefficient of the highest power term. Additionally, the product of the zeroes is equal to the constant term divided by the coefficient of the highest power term.
 3. How can we find the zeroes of a polynomial given its equation?
Ans. To find the zeroes of a polynomial given its equation, we can use various methods such as factoring, long division, synthetic division, or using the quadratic formula for quadratic polynomials. Factoring involves finding the factors of the polynomial equation and setting each factor equal to zero to solve for the zeroes. Long division and synthetic division are used to divide the polynomial equation by a linear factor and solve for the zeroes. The quadratic formula is used specifically for quadratic polynomials in the form of ax^2 + bx + c = 0.
 4. Can a polynomial have more zeroes than its degree?
Ans. No, a polynomial cannot have more zeroes than its degree. The number of zeroes of a polynomial is equal to its degree. This is based on the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n complex zeroes, counting multiplicities. Therefore, the number of zeroes of a polynomial is always equal to its degree.
 5. Is it possible for a polynomial to have no zeroes?
Ans. No, it is not possible for a polynomial to have no zeroes. The Fundamental Theorem of Algebra guarantees that a polynomial of degree n will always have exactly n complex zeroes, counting multiplicities. If a polynomial has no zeroes, it means that it does not intersect the x-axis and therefore does not exist as a valid polynomial equation.

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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