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Review of Polynomial Multiplication Concepts and Examples

This material focuses on reviewing key concepts from polynomial multiplication, specifically targeting students preparing for advanced mathematical topics. The content includes matching exercises to connect polynomial definitions with their corresponding examples and terms. Notable formulas include the multiplication of monomials with binomials and trinomials, as well as identifying polynomials with varying numbers of terms. Examples illustrate the multiplication process, catering to visual learners and reinforcing understanding through practice.

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Review of Polynomial Multiplication Concepts and Examples

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  1. 3.5 Many of the topics in 3.5 will be a review of concepts worked on in gr. 9. Lets see what you remember.

  2. Match items from each box that go together (i.e. choose an example, a name and a definition that go together) ~A polynomial containing two terms. ~A polynomial containing only one term. ~A term or a sum of terms. ~A polynomial containing three terms.

  3. A Review of Multiplying Polynomials • monomial x binomial x(3x + 2) =3x2 + 2x • monomial x trinomial 4x(5x2 + 3x – 1) =20x3 + 12x2 – 4x 2 1 3 2 1

  4. A Review of Multiplying Polynomials • binomial x binomial (x + 2)(x + 3) = x2 + 3x + 2x + 6 = x2 + 5x + 6 2 1 4 3

  5. A Review of Multiplying Polynomials • binomial x trinomial (x + 2)(4x2 + 3x + 5) = 4x3 + 3x2 + 5x + 8x2 + 6x + 10 = 4x3 + 11x2 + 11x + 10 3 2 1 6 5 4

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