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Multiplying Polynomials

Learn how to multiply binomials and trinomials effectively by following step-by-step instructions. From distributing monomials, using FOIL method, to collecting like terms, this guide explains it all. Practice with examples and simplify polynomial products with ease.

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Multiplying Polynomials

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  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. 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. 186-187

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