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Find the GCF of the terms in a polynomial. Find two binomial factors of a quadratic expression. 8.2 F ACTORING BY D ISTRIBUTIVE PROPERTY.

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Presentation on theme: "Find the GCF of the terms in a polynomial. Find two binomial factors of a quadratic expression. 8.2 F ACTORING BY D ISTRIBUTIVE PROPERTY."— Presentation transcript:

1 Find the GCF of the terms in a polynomial. Find two binomial factors of a quadratic expression. 8.2 F ACTORING BY D ISTRIBUTIVE PROPERTY

2 M ODELING WITH A LGEBRA T ILES 2 X ( X + 3) X X X 111 X2X2 X2X2 XXX XXX 2 X 2 + 6 X =

3 M ODELING WITH A LGEBRA T ILES 3X(X - 2)3X(X - 2) X X X 11 X2X2 X2X2 XX XX XX 3 X 2 – 6 X = XX2X2

4 M ODELING WITH A LGEBRA T ILES = 2 X ( X - 4) X X X 11 X2X2 X2X2 XX XX 2 X 2 – 8 X 11 X X X X

5 P RACTICE WITH D ISTRIBUTIVE PROPERTY  From Friday’s Homework  b(b 2 – 12b + 1)  -3m 3 (2m 3 – 12m 2 + 2m + 25)  2pr 2 (2pr+5p 2 r-15p) "Imagination is more important than knowledge." Albert Einstein  b 3 – 12b 2 + b  -6m 6 +36m 5 -6m 4 -75m 3  4p 2 r 3 +10p 3 r 3 -30p2r 2  b 3 – 12b 2 + b GCF = b  Un-distribute b(b 2 – 12b + 1)  -6m 6 +36m 5 -6m 4 -75m 3 GCF = 3m 3  Un-distribute 3m 3 (2m 3 – 12m 2 + 2m + 25)  4p 2 r 3 +10p 3 r 3 -30p 2 r 2 GCF = 2p 2 r 2  Un-distribute 2p 2 r 2 (2r+5pr-15)

6 D ISTRIBUTIVE P ROPERTY 2a(6a + 8) 2a * 6a + 2a * 8 12a 2 + 16a Distributive Property requires you to multiply the term outside the parenthesis by each term inside the parenthesis Use Distributive Property to Factor 1. Find GCF of given terms 3, 4 2,8, 4, 4 GCF 4a 2. Write each term as a product of the GCF 4a(3a) + 4a(4) 3. Simplify using Distributive Property 4a(3a + 4) Objective: Be able to use the distributive property to factor polynomial and solve for solution of variables.

7 S UMMARY  GCF can be used with the distributive property to FACTOR two terms  Practice Assignment  Page 479, 2, 4, 16, 18, 20, 28, 36  Make up work requires  Page 832 1- 8 all Complete the problems listed to make sure you understand the concepts being presented.


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