Question

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

Answer 1

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

Answer 2

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

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`.