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Remember that monomials are single term critters:

x^2 - 3x + 7 ... trinomial

x + 5 ... binomial

6x^2 ... monomial

Dividing by these things pops up fairly often in later math classes.

Let's just do one:

( 18x^4 - 10x^2 + 6x^7 ) / ( 2x^2 )

Let's rewrite it like this:

( 18x^4 - 10x^2 + 6x^7 ) / ( 2x^2 )
Since there is only one term down here, we can break this thing up...

( 18x^4 - 10x^2 + 6x^7 ) = ( 18x^4 ) / ( 2x^2 ) - ( 10x^2 ) / ( 2x^2 ) + ( 6x^7 ) / ( 2x^2 ) ... now, we just reduce each term ... = 9x^2 - 5 + 3x^5

It's that simple!