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Published byBrianna Fitzgerald Modified over 8 years ago
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GCF Factoring 11.3
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To find the GCF between two or more terms: 1)Factor Tree 2)List all factors 3)Find the largest # and variable that goes into all terms
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Find the GCF between the two number 15, 30, 45 18, 33, 36 X 8, x 7, x 3 4x, 8x 4, 16x 3 3xy 3, 9x 2 y 2, 18x 3 y 15 33 x3x3 4x 3xy
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To factor out the GCF: 1) Find the GCF 2) Write it on the outside of parentheses 3) Consider what you multiply the GCF by to get each term
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Factor out the GCF x 3 + x 2 + x 4x 3 + 2x 2 + 2x 15a + 12b + 6c 8x 2 - 18y 2 x 2 y + 2y 15x 2 - 50x - 10 x( ) 2x( ) 3( ) 2( ) y( ) 5( ) x(x 2 + x + 1) 2x(2x 2 + x + 1) 3(5a + 4b + 2c) 2(4x 2 – 9y 2 ) y(x 2 + 2) 5(3x 2 – 10x – 2)
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Factor out the GCF 64c 3 – 56c 2 + 88c 18k + 36k 2 + 9k 3 33q 3 + 33q 2 r + 33qr 2 a 3 b 2 + a 3 b 4 + ab 4 8c(8c 2 – 7c + 11) 9k(2 + 4k + k 2 ) 33q(q 2 + qr + r 2 ) ab 2 (a 2 + a 2 b 2 + b 2 ) 8c( ) 9k( ) 33q( ) ab 2 ( )
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