1. Multiplying Polynomials

2. A monomial in front…
Step 1: Distribute the monomial to ONE of the brackets.

3. Step 2: FOIL
Step 3: Combine like terms.

4. Distribute the monomial to first bracket only
An Example…
Distribute the monomial to first bracket only
FOIL
Collect like terms!

5. A Binomial Multiplied by a Trinomial
Step 1: Distribute the first term to each term in the 2nd bracket, then distribute the second term to each term in the 2nd bracket.
Step 2: Collect like terms.

6. 3 Binomials Step 1: FOIL the first two binomials.
Step 2: Distribute the binomial remaining into the trinomial.
Step 3: Collect like terms.

7. Simplifying Sums & Differences of Polynomial Products
Step 1: FOIL the first two binomials, collect like terms
Step 2: FOIL the monomial into the binomial, then the two binomials together. Make sure to collect like terms.
BEDMAS

8. Simplifying Sums & Differences of Polynomial Products (cont...)
Step 3: Now that we’ve done all of our multiplying, we can go ahead and combine the two sets of polynomials by collecting like terms.
BEDMAS

9. Homework Time! p