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A.3 Objectives A. Polynomials and Factoring 1.Understand the vocabulary of polynomials 2.Add and subtract polynomials 3.Write polynomials in standard form. 4.Multiply polynomials 5.Special Products 6.GCF 7.Factor Polynomials with 2 or 3 terms. 8.Factor Polynomials with more than 3 terms. 9.Find the GCF of any polynomial expression 1.Understand the vocabulary of polynomials 2.Add and subtract polynomials 3.Write polynomials in standard form. 4.Multiply polynomials 5.Special Products 6.GCF 7.Factor Polynomials with 2 or 3 terms. 8.Factor Polynomials with more than 3 terms. 9.Find the GCF of any polynomial expression

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9. Special cases: Simple case, when

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Warning: is Prime Warning: is Prime 9. Special Binomial Products

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10. Practice Factor each. If it does not factor, state that it is PRIME. 1. 2. 3. 4. Study Tip: No middle term = special product!

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Factoring Polynomials Summary 1. Factor out GCF 2. Binomial? is it “special” ? 3. Trinomial? Use factoring algorithm 4. 4 terms? Use grouping 1. Factor out GCF 2. Binomial? is it “special” ? 3. Trinomial? Use factoring algorithm 4. 4 terms? Use grouping

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11. Polynomial with 4 terms Use Grouping (double bubble) 1) 2)

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Example: Factor the expression: 1) 2) Where t is algebraic expression is called quadratic in form. 12. An expression Quadratic in Form

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1. 13. Finding the GCF of an expression 2.

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