Hello students, here in this video we are going to study a very interesting topic named, HCF and LCM of Polynomials and degree of polynomials forms class - X maths.
We learn about Polynomials in class - IX but in this video, first of all, you remember about the definition of polynomial, types of polynomials, HCF of polynomials and problems related to HCF of polynomials
Polynomials: A polynomial is defined as an expression of more than two or more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. It is a linear combination of monomials.
Degree of polynomials: It is the highest or the greatest degree of a variable in the polynomials. It indicates the highest exponential power in the polynomial.
Types of polynomials: A zero polynomial is the one where all the coefficients are equal to zero. The degree of constant polynomial is that whose value remains the same. It contains no variables. A polynomial of degree 1 is known as Linear polynomial. A polynomial of degree 2 is known as Quadratic polynomials. A polynomial of degree 3 is known as Cubic polynomials. Real numbers are also polynomials whose highest degree of variables is zero.
Here, we study about HCF and lcm of polynomials. HCF (gcd) : gcd greatest common divisor or hcf of two polynomials are the highest degrees common divisor of both polynomials and coefficient of highest degree term is positive.
There are numerous statement problems based on finding HCF of polynomials students get confused as to which concept has to be applied in a particular problem.
Watch this video and remove confusion. In this video, we are going to learn how to find HCF in just few seconds.