Multiplying Polynomials
A monomial in front… Step 1: Distribute the monomial to ONE of the brackets.
Step 2: FOIL Step 3: Combine like terms.
Distribute the monomial to first bracket only An Example… Distribute the monomial to first bracket only FOIL Collect like terms!
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.
3 Binomials Step 1: FOIL the first two binomials. Step 2: Distribute the binomial remaining into the trinomial. Step 3: Collect like terms.
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
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
Homework Time! p. 186-187