1. 8.5 Using the Distributive Property
Assignment 17: 8.5 WB Pg.109 # 2 – 26 even

2. How to divide a polynomial by a monomial:
To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and add the results.
Step 1: Find the GCF of ALL terms
Step 2: Divide each term by the GCF.
Step 3: Write a product of the GCF and the new polynomial from step 2.
The Greatest Monomial Factor of a Polynomial is simply the GCF of its terms.

3. Example: Factor Step 1: Find the GCF of all terms.
Step 2: Make a new polynomial by multiplying the non-bold factors together to get your NEW polynomial
Step 3: Write the product of your GCF from step 1 and your new polynomial from step 2

4. Factoring by Grouping
Factoring by grouping is just like factoring out a common monomial.
Example:
The common factor here is 4x.
The common factor here is y.
The common factor here is (y – z).

5. Example: Step 2: See what the common factor will be.
Step 1: Factor out common factors.
Step 2: See what the common factor will be.
Step 3: Use the rule of opposites if needed to group.
Step 4: Factor using grouping.

6. Zero–Product Property
A product of factors is zero if and only if (iff) one or more of the factors is zero.

7. Standard Form
An equation is in standard form when one side is equal to zero and the other side is a simplified polynomial arranged in order of decreasing degree of the variable.

8. Example: Solve using the zero product property
= 0
Step 1: Factor out common factors.
= 0
Step 2: See what the common factor will be.
Step 3: Use the rule of opposites if needed to group.
Step 4: Factor using grouping.
Step 5: Set each factor equal to ZERO.
Step 6: Solve.