GCF Factoring 11.3

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

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 33 x3x3  4x  3xy

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

Factor out the GCF  x 3 + x 2 + x  4x 3 + 2x 2 + 2x  15a + 12b + 6c  8x y 2  x 2 y + 2y  15x x - 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)

Factor out the GCF  64c 3 – 56c c  18k + 36k 2 + 9k 3  33q q 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 ( )