Factoring Polynomials

9m^3n-36mn^3+39m^4n^2

find the greatest common factor of all the terms

begin with the coefficients: 9, 36, and 39

the GCF is 3

now work with the variables one at a time

find the GCF of m^3, m, and m^4

the GCF is m

find the GCF of n, n^3, and n^2

the GCF is n

the GCF of the algebraic expression is 3mn

factor 3mn from each term of the expression

(3mn)(3m^2)+(3mn)(-12n^2)+(3mn)(13m^3n)

(3mn)(3m^2-12n^2+13m^3n)