4AB CH 4.4 Factoring Expressions Teacher NOTES.notebook October 17, 2014 CH 4.4 Factoring Quadratic Expressions GOAL: Factor quadratic expressions REVIEW: • A binomial is • Methods to multiply binomials: Multiply using the DISTRIBUTIVE method (x + 4) (x + 2) Multiply using the FOIL method (x + 4) (x + 2) Factoring is the opposite of multiplying binomials; when we factor we start with a quadratic trinomial in standard form. • We end up with 2 binomials • It might help to list all factors of the constant (c) REVIEW 1 4AB CH 4.4 Factoring Expressions Teacher NOTES.notebook October 17, 2014 Use the following when factoring any polynomial I. Combine like terms and put in descending order. II. Take out the GCF (Greatest common factor) III. Count the remaining terms to determine what pattern is present. EX 1. What is the expression in factored form: 4x2 28x • GCF YOU TRY: CH 4.4 Student Companion pg 96 #'s 13,14 EX 2. What is the expression in factored form: 7x + x2 + 6 • Arrange in descending order; "a" is = to 1; use Trial and Error or the AC method YOU TRY: CH 4.4 Student Companion pg 95 #'s 4-12 (factor out the -1 in #9) EX 3. What is the expression in factored form: 2x2 + 5x 12 • "a" is not = to 1: Trial and Error, the AC method, or Factor by GROUPING YOU TRY: CH 4.4 Student Companion pg 95 #'s 15-17 2 4AB CH 4.4 Factoring Expressions Teacher NOTES.notebook October 17, 2014 (one is cubic) EX 4. What is the expression in factored form: x2 12x +36 • Is it a perfect square trinomial? YOU TRY: CH 4.4 Student Companion pg 95 #'s 18-20 TWO TERMS: A possible pattern: EX 4. What is the expression in factored form: 81x2 100 • Is it a difference of squares? YOU TRY: CH 4.4 Student Companion pg 97 #'s 21-25 3

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