Algebra: Factorisation of Polynomials

Concept Lectures

Session # 1 : What is factorisation? What are factors? Meaning of notations: a|b and g(x)|f(x)

Session # 2 : Method 1: Try to find out common factors and pull them out to factorise the given polynomial. The session explains this process through worked out examples.

Session # 3 : Method 2: Try to find out common factors and pull them out to factorise the given polynomial by grouping the terms.

Session # 4 : Method 3: Try to complete the square and find out common factors, pull them out to factorise the given polynomial.

Session # 5 : Method :4 Factorisation of polynomials in the form of difference of squares. [Q] : Factorise : x^8 - y^8

Session # 6 : Solved Example Method :4 Factorisation of polynomials in the form of difference of squares. [Q] : Factorise : x^2 + 2xy + y^2 - a^2 + 2ab - b^2

Session # 7 : Solved Example Method :4 Factorisation of polynomials in the form of difference of squares. Q. Factorise : x^4 + 2x^2 + 3

Session # 8 : Method :5 Factorisation of quadratic polynomials by splitting the middle term.