HCF and LCM of Two Polynomials
What is the HCF of two polynomials?
The higher common factor (HCF) of two polynomials is the common polynomial with the lowest degrees and shared coefficients between them.
Can the HCF of two polynomials be zero?
No, the Highest Common Factor (HCF) of two polynomials cannot be zero.
What is the LCM of a Polynomial?
LCM of two polynomials is the product of unique factors with the highest powers from each polynomial.
What is the Relationship Between LCM and HCF?
Yes, It is true that the product of two polynomials’ HCF and LCM equals the polynomials’ product.
HCF × LCM = (1st Polynomial × 2nd Polynomial)
Find the HCF of 11ab and 55a.
The HCF of 11ab and 55a is 11a.
What is the LCM of 27pqr and 3p2q2?
The LCM of 27pqr and 3p2q2 is 27p2 q2 r.
HCF and LCM of Polynomials
HCF (Highest Common Factor) and LCM (Least Common Multiple) of polynomials are concepts similar to those for integers. The HCF of two polynomials is the largest polynomial that divides both polynomials without leaving a remainder, while the LCM is the smallest polynomial that is a multiple of both polynomials.
To find the HCF of polynomials, we take the common factors among all the factors of two polynomials, and for LCM, we take the product of all their unique factors. In this article, we will discuss how to find HCF and LCM for polynomials, with some solved examples as well.