Its FACTORING By Chloe Flack Fun Maybe FACTOR

It’s FACTORING By: Chloe Flack Fun Maybe? !

FACTOR OUT THE GCF • ALWAYS LOOK FOR THE GCF FIRST!! • Ex: 10 X 2+22 X+2 2 2(5 X 2+11 X+1)

DIFFERENCE OF SQUARES • Must be two terms • Must be perfect squares • Must be separated by a – sign • Ex: X 2 - 9 (X+3)(X-3)

GROUPING • Must have four terms • Ex: • 4 X 2 -44 X -X+11 • 4 X(X-11)-1(X-11) • (X-11)(4 X-1) Remove the GCFs

TRINOMIALS WITH A=1 • Three terms • A must equal one Add Multiply • Ex: • X 2+2 X-15 • (X+5)(X-3) Multiply to -15 Add to 2 -15, 1 -14 -1, 15 14 -5, 3 -2 -3, 5 2 Create a table to list factors if needed

TRINOMIALS WITH A=1 • Three terms • A can’t equal one • Ex: Does this look familiar? It’s grouping! Multiply to -24 Add to -5 -1, 24 23 -2, 12 10 6 X 2 -8 X+3 X-4 -3, 8 5 -4, 6 2 2 x(3 X-4)+1(3 X-4) -6, 4 -2 -8, 3 -5 -12, 2 -10 -24, 1 -23 6 X 2 -5 X-4 Bust up the b term (3 X-4)(2 X+1) Create a table to list factors if needed

DON’T FORGET TO CHECK • Use the FOIL or box method to check your work (X+3) X X + 3 +3

PRACTICE 1. 16 X 4+81 3. X 2 -8 X+7 2. 6 X 2 -3 X+8 X-4 4. 12 X 2+11 X+2

PRACTICE ANSWERS 1. 16 X 4+81 (4 X 2+9)(4 X 2 -9)Thought you were done? 3. X 2 -8 X+7 (X-1)(X-7) Not yet (4 X 2+9)(2 X+3)(2 X-3) 2. 6 X 2 -3 X+8 X-4 (3 X+4)(X-1) 4. 12 X 2+11 X+2 (3 X+2)(4 X+1)