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GCF Factoring. 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
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To find the GCF between two or more terms: 1)Factor Tree2)List all factors3)Find the largest # and variable that goes into all terms
Find the GCF between the two number • 15, 30, 45 • 18, 33, 36 • X8, x7, x3 • 4x, 8x4, 16x3 • 3xy3, 9x2y2, 18x3y • 15 • 3 • x3 • 4x • 3xy
To factor out the GCF: 1) Find the GCF2) Write it on the outside of parentheses3) Consider what you multiply the GCF by to get each term
Factor out the GCF • x3 + x2 + x • 4x3 + 2x2 + 2x • 15a + 12b + 6c • 8x2 - 18y2 • x2y + 2y • 15x2- 50x - 10 • x( ) • 2x( ) • 3( ) • 2( ) • y( ) • 5( ) • x(x2 + x + 1) • 2x(2x2 + x + 1) • 3(5a + 4b + 2c) • 2(4x2 – 9y2) • y(x2 + 2) • 5(3x2 – 10x – 2)
Factor out the GCF • 64c3 – 56c2 + 88c • 18k + 36k2 + 9k3 • 33q3 + 33q2r + 33qr2 • a3b2 + a3b4 + ab4 • 8c(8c2 – 7c + 11) • 9k(2 + 4k + k2) • 33q(q2 + qr + r2) • ab2(a2 + a2b2 + b2) • 8c( ) • 9k( ) • 33q( ) • ab2( )