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Find common and binomial factors by using a table.

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Presentation on theme: "Find common and binomial factors by using a table."— Presentation transcript:

1 Find common and binomial factors by using a table.

2 FOIL

3 What is the GCF of the terms 5x 3 + 25x 2 + 45x? List the prime factorization of each term 5x 3 = 5 ∙ x ∙ x ∙ x 25x 2 = 5 ∙ 5 ∙ x ∙ x 45x = 3 ∙ 3 ∙ 5 ∙ x What do they all have in common? 5x GREATEST COMMON FACTOR (GCF)

4 FACTORING OUT A MONOMIAL

5 x 2 + 3x + 2 Find two factors of 2 whose sum is 3. Helps to make a list (x + 1)(x + 2) FACTORING WITH POSITIVES Factors of 2Sum of Factors 1, 21 + 2 = 3

6 n 2 – 5n + 6 Find two factors of 6 whose sum is -5. Helps to make a list (n - 2)(n - 3) POSITIVES AND NEGATIVES Factors of 6Sum of Factors 1, 61 + 6 = 7 2,32 + 3 = 5 -1, -6-1 + -6 = -7 -2, -3-2 + -3 = -5

7 FACTORING WHEN A≠1 Factors of 24Sum 1, 2425 2, 1214 3, 811

8 FACTORING WHEN A≠1 CONTINUED

9 FACTORING SPECIAL CASES

10 Odds p.221 #15-21,33-43 ASSIGNMENT


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