Question

Find the complete factored form of the polynomial:
- m^2 n^5 - 4 m^3 n^6

Answer 1

we are given wit a polynomial to factorize

`- m^2 n^5 - 4 m^3 n^6`

`- m^2 n^5 - 4 m^3 n^6=- m^2 n^5 - 4 m^2*m^1 n^5*n^1\\\\- m^2 n^5 - 4 m^3 n^6=- m^2 n^5 - 4 m^2\ n^5*mn\\\\- m^2 n^5 - 4 m^3 n^6=-m^2 n^5(1+4mn)\\`

Hence the complete factor of the polynomial is
`-m^2 n^5(1+4mn)`