Question

Find the greatest common factor of the following monomials: 39n3 48n2

Answer 1

A monomial is an expression that is the product of constants and nonnegative integer powers of xxx, like 3x^23x 2

3, x, squared. A polynomial is a sum of monomials.

You can write the complete factorization of a monomial by writing the prime factorization of the coefficient and expanding the variable part. Check out our Factoring monomials article if this is new to you.

Answer 2

$\huge\textsf{Hey there!}$

$\large\textsf{Monomial means an algebraic expression that consists of using ONE term}$

$\mathsf{39n^3: 1, 3, 13, 39, n, n, n}$

$\mathsf{48n^2: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, n, n}$

$\large\textsf{Like terms: 1, 2, 3, n, n}$

$\boxed{\boxed{ \large\textsf{Answer: \bf The GCF (Greatest Common Factor): 3n}^2}}\huge\checkmark$

$\large\textsf{Good luck on your assignment and enjoy your day!}$

~$\frak{aAmphitrite1040:)}$