9m3n36mn339m4n2 Factoring PolynomialsSolution9m3n36mn339m4n2

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

Solution

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)