Find the greatest common factor (GCF/HCF) of the following polynomials

1.	Find the greatest common factor (GCF/HCF) of the following polynomials:12ax2, 6a2x3 and 2a3x5
Answer» The numerical coefficients of given numerical are 12, 6, 2 Greatest common factor of 12, 6, 2 is 2. Common literals appearing in given numerical are a and x Smallest power of x in three monomials = 2 Smallest power of a in three monomials = 1 Monomials of common literals with smallest power= ax² Hence, the greatest common factor = 2ax²

Find the greatest common factor (GCF/HCF) of the following polynomials:12ax2, 6a2x3 and 2a3x5

Answer»

The numerical coefficients of given numerical are 12, 6, 2

Greatest common factor of 12, 6, 2 is 2.

Common literals appearing in given numerical are a and x

Smallest power of x in three monomials = 2

Smallest power of a in three monomials = 1

Monomials of common literals with smallest power= ax²

Hence, the greatest common factor = 2ax²