Question

-8m^2 n-7m^6 n^4 complete factored form of the polynomial?

Answer 1

\[\large -8\color{green}{m^2}\color{blue}{n}-7\color{green}{m^6}\color{blue}{n^4}\]Can you tellmewhat the LCMs will be of these two highlighted portions?

Answer 2

n

Answer 3

and n^4

Answer 4

goooood :D and what else?

Answer 5

idk umm m^6

Answer 6

Ok, lets try this..

Between \(n\) and \(n^6\) which one is smaller?

Between \(m^2\) and \(m^6\) which one is smaller?

Answer 7

n is smaller and m^2 is smaller

Answer 8

great! :D This is what we cal our "LCM" or Lowest common multiple.

Answer 9

What we can do, since these two terms, \(-8m^2n\) and \(-7m^6n^4\) share a -ve, an m and an n in common, we can pull these out as general factors.

Answer 10

Like so: \(\large -m^2n(8+7m^?n^?)\)

Answer 11

now since we pulled out our LCMS... we have to fill in the powers for the question marks.

Answer 12

^4 and n^3

Answer 13

You got it :D \[\large -m^2n(8+7m^4n^3)\]

Answer 14

good job :P

Answer 15

thanks

Answer 16

no problemo