6-7 Factoring: A General Strategy Warm-up Problems Factor. 1. 2. 3. 4.

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6-7 Factoring: A General Strategy Warm-up Problems Factor

Chapter Factoring: A General Strategy

Factoring Polynomials 1.Always look for a common factor. 2.Then look at the number of terms. Two terms: Determine whether you have a difference of squares. Three terms: Determine whether you have a trinomial square of a binomial. If not, test the factors of the terms. Four terms: Try factoring by grouping. 3.Always factor completely.

Example 1 Factor 1.Look first for a common factor. 2.Factor a difference of two squares. 3. Have we factored completely?

Example 2 Factor 1.Look first for a common factor. 2.Factor a difference of two squares. 3. Have we factored completely?

Example 3 Factor 1.Look first for a common factor. 2.Factor by grouping. 3. Have we factored completely?

Example 4 Factor 1.Look first for a common factor. 2.Determine whether the trinomial is a square of a binomial. If not, test the factors of the terms. 3. Have we factored completely?

Try This Factor. a. b. c.

Try This Factor. d. e. f.