Change Matrix
logo

Polynomials: From meaning to types and Zeroes.

CBSE 10, CBSE 9, CBSE 8, Olympiad, Competitive, geometry, division, TET, NCERT, SSC, quadratic, equations, Numbers, Factorisation, Middle Term Splitting, Teaching, Online, covid-19, factor, remainder, Theorem, Zeroes, polynomial, cubic, biquadratic, division algorithm, long division, relationship, coefficients, factorise, Examples, Quotient, Remainder Theorem, Factor Theorem

FREE

No. of Videos : 14

01. Algebra: Introduction to Polynomials

In this video we will understand:

• about the algebraic terms, their types, expressions. A

• introduce polynomials which are specific kind of expressions.

In this video we will understand:

• about the algebraic terms, their types, expressions. A

• introduce polynomials which are specific kind of expressions.

Show Less

02. Polynomials: Degree, Types and Value.

In this video we will understand:

• the #standard form, #degree, various types of polynomials and also

• how do you find the value of polynomial when the value of variable is given.

In this video we will understand:

• the #standard form, #degree, various types of polynomials and also

• how do you find the value of polynomial when the value of variable is given.

Show Less

03. Meaning of the Zeroes of a Polynomial

In this video we will understand:

• about the meaning of the zero of any polynomial.

• Finding if a value of variable is zero or not of the given polynomial.

In this video we will understand:

• about the meaning of the zero of any polynomial.

• Finding if a value of variable is zero or not of the given polynomial.

Show Less

04. Number of the Zeroes of a Polynomial

In this video we will understand:

• how many zeros a polynomial can have and

• what is the relationship between the degree of any polynomial and number of its zeroes.

In this video we will understand:

• how many zeros a polynomial can have and

• what is the relationship between the degree of any polynomial and number of its zeroes.

Show Less

05. Finding the Zeroes of a Polynomial

In this video we will understand:

• General Steps or rules to find the zeroes of any polynomial.

• Explanation of these steps with examples of Linear and Quadratic polynomials.

In this video we will understand:

• General Steps or rules to find the zeroes of any polynomial.

• Explanation of these steps with examples of Linear and Quadratic polynomials.

Show Less

06. Long Division Method for Polynomials

In this video we will understand:

• about the long division method of #polynomials.

• How the division algorithm of arithmetic is applied in algebra.

I also call this method as Eat and Repeat method

In this video we will understand:

• about the long division method of #polynomials.

• How the division algorithm of arithmetic is applied in algebra.

I also call this method as Eat and Repeat method

Show Less

07. Splitting the Middle Term : Factorisation of Quadratic polynomials

In this video we will understand:

• about the #factorisation od #quadratic polynomials using the method of #splitting the #middle #term.

• The steps we follow in this method.

• The importance of this method in factorisation.

In this video we will understand:

• about the #factorisation od #quadratic polynomials using the method of #splitting the #middle #term.

• The steps we follow in this method.

• The importance of this method in factorisation.

Show Less

08. Polynomials | The Remainder Theorem | With Examples |

In this video we will understand:

• about the #remainder theorem

• to find the remainder without going through the long division method.

• the base of another important theorem called the factor theorem which is used in #factorization..

In this video we will understand:

• about the #remainder theorem

• to find the remainder without going through the long division method.

• the base of another important theorem called the factor theorem which is used in #factorization..

Show Less

09. The Factor Theorem | Explanation with Solved Examples |

In this video we will understand:

• the factor theorem. #factortheorem

• to find the Factor of any #polynomial from the zeroes of that polynomial.

• the steps we follow to use it.

In this video we will understand:

• the factor theorem. #factortheorem

• to find the Factor of any #polynomial from the zeroes of that polynomial.

• the steps we follow to use it.

Show Less

10. Using Factor Theorem to find Zeroes of a Cubic Polynomial

In this video we will understand:

• how do we apply the factor theorem to factorise a cubic polynomial and hence find its zeros.

• The use of long division and middle term splitting method.

In this video we will understand:

• how do we apply the factor theorem to factorise a cubic polynomial and hence find its zeros.

• The use of long division and middle term splitting method.

Show Less

11. General formula of the quadratic polynomials

In this video we will understand:

• how do we find the quadratic polynomial from its zeros.

• The 1st method of directly applying the formula of a quadratic polynomial.

• and another by using the relationship between the zeros and coefficients of a quadratic polynomi ... Show More

In this video we will understand:

• how do we find the quadratic polynomial from its zeros.

• The 1st method of directly applying the formula of a quadratic polynomial.

• and another by using the relationship between the zeros and coefficients of a quadratic polynomial

Show Less

12. Relation between zeroes and coefficients of Quadratic Polynomial

In this video we will understand:

• the relationship between the zeroes and #coefficients of a #quadratic polynomial.

• Applications of this relationship

• Verification of this relationship.

In this video we will understand:

• the relationship between the zeroes and #coefficients of a #quadratic polynomial.

• Applications of this relationship

• Verification of this relationship.

Show Less

13. Relation between the Zeroes and Coefficients of Cubic Polynomial

In this video we will understand:

• how do we find a cubic polynomial when the zeros are given.

• about the relation between zeros and coefficients of a cubic polynomial.

In this video we will understand:

• how do we find a cubic polynomial when the zeros are given.

• about the relation between zeros and coefficients of a cubic polynomial.

Show Less

14. Finding Zeroes of Bi Quadratic Polynomials

In this video we will understand:

• To find the zeroes of a bi-quadratic polynomials.

• The application of the factor theorem.

• The use of the long division method.

In this video we will understand:

• To find the zeroes of a bi-quadratic polynomials.

• The application of the factor theorem.

• The use of the long division method.

Show Less