Algebra 1 O.T.Q. Simplify. 1.4 2 3. (–2) 2 4. (x) 2 5. –(5y 2 ) 1649 4 x2x2 2. 7 2 6. (m 2 ) 2 m4m4 –5y 2.

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Algebra 1 O.T.Q. Simplify (–2) 2 4. (x) 2 5. –(5y 2 ) x2x (m 2 ) 2 m4m4 –5y 2

Homework Questions???

8.5 Using Distributive Property Grouping, Trinomials, Binomials, GCF & Solving Equations

Factor by Grouping When polynomials contain four terms, it is sometimes easier to group like terms in order to factor. Your goal is to create a common factor. You can also move terms around in the polynomial to create a common factor. Practice makes you better in recognizing common factors.

Factor by Grouping Example 1: FACTOR: 3xy - 21y + 5x – 35 Factor the first two terms: 3xy - 21y = 3y (x – 7) Factor the last two terms: + 5x - 35 = 5 (x – 7) The green parentheses are the same so it’s the common factor Now you have a common factor (x - 7) (3y + 5)

Factor by Grouping Example 2: FACTOR: 6mx – 4m + 3rx – 2r Factor the first two terms: 6mx – 4m = 2m (3x - 2) Factor the last two terms: + 3rx – 2r = r (3x - 2) The green parentheses are the same so it’s the common factor Now you have a common factor (3x - 2) (2m + r)

Factor by Grouping Example 3: FACTOR: 15x – 3xy + 4y –20 Factor the first two terms: 15x – 3xy = 3x (5 – y) Factor the last two terms: + 4y –20 = 4 (y – 5) The green parentheses are opposites so change the sign on the (-y + 5) or – 4 (5 - y) Now you have a common factor (5 – y) (3x – 4)

SUMMARY

CLASSWORKHOMEWORK Page #’s 22 – 38 even, 52 Page 500 #’s 57, 62, 68, 76, 82

EXIT TICKET 1.6x 3 – 9x 2 + 4x – x 3 + 2x x +3 Factor completely