Question

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

Answer 1

The polynomial will be:
`12m^2-11mn+2n^2`

Explanation:

Two factors of the polynomial are:
`(3m-2n)` and
`(4m-n)`

For finding the polynomial, we need to multiply the two factors. So....

`(3m-2n)(4m-n)\\ \\ =3m(4m-n)-2n(4m-n)\\ \\ =12m^2 -3mn-8mn+2n^2\\ \\ =12m^2-11mn+2n^2`

So, the polynomial will be:
`12m^2-11mn+2n^2`

Answer 2

( 3 m - 2 n ) · ( 4 m - n ) =
= 12 m² - 3 m n - 8 m n + 2 n² = 12 m² - 11 m n + 2 n²
Answer:
The polynomial is:
12 m² - 11 m n + 2 n².