Answer:
[tex]12m^2+2n^2-11mn[/tex]
Step-by-step explanation:
We have been given factors of polynomial [tex](3m-2n)\text{ and }(4m-n)[/tex]. We are asked to find the polynomial from our given factors.
To find our polynomial, we will multiply both factors of our given polynomial as:
[tex](3m-2n)(4m-n)[/tex]
We will use distributive law to find product of given factors.
[tex]3m(4m-n)-2n(4m-n)[/tex]
[tex]3m*4m-3m*n-2n*4m-2n*-n[/tex]
[tex]12m^2-3mn-8mn+2n^2[/tex]
[tex]12m^2+2n^2-11mn[/tex]
Therefore, our required polynomial would be [tex]12m^2+2n^2-11mn[/tex].
