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