Polynomials

Concepts Learning Sessions

Session # 1 In this session you would learn. What are Polynomials? What are expressions? Which expressions are not polynomials? How to find out the degree of a polynomial?

Solve this Worksheet # 1 before proceeding further.

Session # 2 In this session you can learn about various types of polynomials. Also, how many terms can be there in a given polynomial of degree n.

Session # 3 What is meant by value of a Polynomial. How to find out a polynomial if the values of a polynomial are given.

Session # 4 What is meant by Zero of a Polynomial. Visual representation of Zeroes of a Polynomial. Number of zeroes of a polynomial of degree n.

Session # 5 How to plot graphs of linear polynomials. Change in graphs when the coefficients of the linear polynomials are changed.Demonstration using Geogebra tool.

Session # 6 How to draw graphs of Quadratic Polynomials.Zeroes of the Polynomials on its graph. Change of the shape of the graph with the change in the values of the coefficients.

Session # 7 Relation between the zeros and coefficients of a quadratic polynomial.

You can now check the problem solving solving sessions 1-2 before proceeding further.

Session # 8 How to plot a cubic polynomial and attributes of such graphs. How does the graph of a cubic polynomial behave if the coefficients are changed.Identifying Zeros of a Cubic Polynomial on the graph.

Session # 9 Division Algorithm for Polynomials I

Session # 10 Division Algorithm for Polynomials II

Worksheets

Worksheet # 1

Problem Solving Sessions

Session # 1 : Problem on relation between sum and product of roots and the coefficients of the polynomials

Session # 2 : Problem on relation between sum and product of roots and the coefficients of the polynomials

Session # 3 : Problem on relation between sum and product of roots and the coefficients of the polynomials