Verified Answer :

HomertheGenius

( 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.

Answer:

The polynomial will be:  \(12m^2-11mn+2n^2\)

Step-by-step 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:  \(12m^2-11mn+2n^2\)

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