Question

Can someone please help me understand!? Medal will be given! How do I detail the process of polynomial division when the divisor is a monomial. Can you show me an example? How does this process change when the divisor is not a monomial?

Answer 1

for polynomial divided by monomial, u can just divide each term by the monomial and whatever remains is the quotient

for polynomial divided by non-monomial divisor, you either find common factors between the dividend and the division and cancel them leaving the quotient

or u can use long division method to divide

Answer 2

Can we assume we are just talking about 1 variable? (x, say).

Answer 3

- for example :

3x*3 + x*2 -6x /x = 3x*2 +x-6
3x*3
----
- - x*2
x*2
---
-- -6x
-6x
----
--

Answer 4

She wants both though, poly and mono (in x else it's too long to explain).

Answer 5

- and when you divide this with x-1

3x*3 +x*2 -6x/x-1 = 3x*2 +4x -2
3x*3 -3x*2
---------
-- 4x*2 -6x
4x*2 -4x
--------
-- -2x
-2x +2
------
-- -2

Answer 6

I think between the answers you have what you need.

The principal difference is the use of by-eye division with a monomial versus the long division of the poly.