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Kisachek [45]
3 years ago
14

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

Mathematics
2 answers:
SashulF [63]3 years ago
7 0
( 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.
Lilit [14]3 years ago
7 0

Answer:

<em>The polynomial will be:  12m^2-11mn+2n^2</em>

Step-by-step explanation:

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

<u>For finding the polynomial, we need to multiply the two factors</u>. 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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