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Warm Up

Warm Up. Solve f ( x ) = 0 by factoring: Use the Principle of Zero Products Check your answers by graphing. Chapter 6 Section 5. Factoring Special Forms. For a binomial to be a difference of squares, the first and last terms must be perfect squares. The terms must have different signs

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Warm Up

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  1. Warm Up • Solve f(x) = 0 by factoring: • Use the Principle of Zero Products • Check your answers by graphing

  2. Chapter 6 Section 5 Factoring Special Forms

  3. For a binomial to be a difference of squares, the first and last terms must be perfect squares. • The terms must have different signs • The factored form will be

  4. For a trinomial to be a perfect square, the first and last terms must be perfect squares. • Since the square of any non-zero number is positive, the first and last terms must be positive. • The middle term is +2 or –2 times the product of the first and last terms. • The factored form will be

  5. Always look for a common factor first. • Look at the number of terms. • Given two terms, try to factor as a difference of squares. • Given three terms try to factor as a perfect square, reverse foil, AC Method • Given four terms, try to factor by grouping. • Check by multiplication.

  6. Factoring By GroupingRevisited • When a polynomial has four terms, try factoring by grouping:

  7. Solving Nonlinear Equations Solve these algebraically

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