Question

Factor out the greatest negative common factor for the expression.- 8mºn - 40m?n4Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.OA. - 8mºns - 40mºn4-(Factor completely.)OB. There is no common factor other than 1.

Answer 1

- The question tells us to factor out the greatest negative common factor of the expression below:

`-8m^3n^5-40m^3n^4`

- The greatest negative common factor is the negative monomial with the largest magnitude, which divides evenly into each term of the given expression.

- Let us factorize the expression to derive this greatest negative common factor below:

`\begin{gathered} -8m^3n^5-40m^3n^4 \\ -8,m^3,\text{ and }n^4\text{ are all co}mmon\text{ in the expression above.} \\ \text{Thus, we have:} \\ \\ -8m^3n^4(n-5) \end{gathered}`

Final Answer

The answer is

`-8m^3n^4(n-5)`