Dividing Polynomials by Monomials

Remember…

To divide monomials by monomials, it is a 2 Step process.

2 Steps:

1) Divide the numbers (coefficients)

2) Divide the letters (variables)

So…

To divide polynomials by monomials, use the same rules

Polynomials will either have one, two or three terms

Example

3 4 5 2 2 2

3 2

3 2u v u v u v

u v

3 4 5 2 2 2

3 2 3 2 3 2

3 2u v u v u v

u v u v u v

First, we split this fraction into 3 different fractions.

Now, we divide each fraction and simplify.

= 3u0v2 – 2u2v0 + u-1v0 Simplify

2 2 1=3v 2u

u

Example 22 3 26x yz xy z

xyz

2 3 26x yz xy z

xyz xyz

= 6x1y0z2 – x0y1z0

= 6xz2 – y

First, we split this fraction into 2 different fractions.

Now, we divide each fraction and simplify.

Simplify