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6.1 Factoring Polynomials factor out a common factor.

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Presentation on theme: "6.1 Factoring Polynomials factor out a common factor."— Presentation transcript:

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2 6.1 Factoring Polynomials factor out a common factor

3 Factoring (Divide) : Find a # and/or variable that is divisible by all #’s in the expression. To divide the variable subtract the exponents

4 Divisible by… 2 if last digit is an even number. 3 if the sum of the digits is divisible by 3 4 if the number formed by the last two digits is divisible by 4 5 if the number ends in 0 or 5 7 Nike Rule: “just do it” (long division) 9 if the sum of the digits  by 9 10 if the last digit is a zero.

5 5(x + 3) =5x+ 15 “Factoring Polynomials” the REVERSE of the Distributive Property

6 Ex 1:Factor: 10x + 15 2x+ 3 Check your answer!!!!!

7 Ex 2 Factor: 12x + 4 3x+ 1 Check your answer!!!!!

8 Ex 3 Factor: 18x 3 + 12x 3x 2 + 2 Check your answer!!!!!

9 Ex 4 Factor: x 2 + 7x x(x + 7)

10 Ex 5 Factor: a 2 b + 2ab ab(a + 2)

11 Ex 6 Factor: 5x 5 y 4 + 20xy 3 5xy 3 (x 4 y + 4) 5xy3y3 ( )x4yx4y+ 4

12 Ex 7 Factor 16y 5 + 20y 3 4y 3 (4y 2 + 5)

13 Ex 8 Factor: x 3 (9 + 25x 4 )

14 Ex 9 Factor: 3m 3 n(4m 2 n + 3m + 2n)

15 Ex 10 Factor: 16x(x 5 - 2x 4 - 3)

16 Ex 11 Factor: x 2 (6x 2 - 10x + 3)

17 Ex 12 Factor: 2a 2 (2a 2 b 4 – ab 2 + 3)

18 Homework Page 264 ( 10-40) even


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