Mathematics: Find the polynomial. (3m − 2n) and (4m − n) are the factors of

Find the polynomial. (3m − 2n) and (4m − n) are the

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09.01.2022

12m^2+2n^2-11mn

Step-by-step explanation:

We have been given factors of polynomial $(3m-2n)\text{ and }(4m-n)$ . 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:

(3m-2n)(4m-n)

We will use distributive law to find product of given factors.

3m(4m-n)-2n(4m-n)

3m*4m-3m*n-2n*4m-2n*-n

12m^2-3mn-8mn+2n^2

12m^2+2n^2-11mn

Therefore, our required polynomial would be 12m^2+2n^2-11mn .

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