Guided Notes Factoring Date Factoring The reverse of

Guided Notes – Factoring Date______ Factoring: The reverse of the _____________________. You will remove the ________________________________________. Review of Greatest Common Factor with Numbers: 1) 8 + 32 2) 49 + 84 Factors of 8 ______ Factors of 49 ______ Factors of 32 _____ Factors of 84 _____ Greatest Common Factor ________ Rewrite ________________ Factoring Algebraic Expressions Step 1: Find the ______ of the ____________________. Step 2: Find the ______ of the ____________________. Step 3: Factor out ( ___________) the GCF. Together On Your Own 1) Factor: 24 c + 16 c 1) Factor: 20 x + 15 x 2) Factor: 12 y – 16 3) Factor: 6 x + 3 y 4) 6 x + 24 y + 6 2) Factor: 21 y – 12 3) Factor: 4 x + 18 y 4) 21 x + 7 y + 14

Factoring Algebraic Expressions (with multiple variables) Together On Your Own 1) Factor: 12 xy + 15 xyz – 3 xyz 1) Factor: 21 xyz – 15 xyz – 3 xz 2) Factor: -6 abc – 21 abc + 15 ac 2) Factor: -8 ab – 20 abc + 14 ac 3) Factor: -32 de + 14 def – 18 d 3) Factor: -48 def + 16 de – 4 def PARCC/Test Practice 1) 2) Which expressions are a factor of -24 abc – 16 ac + 40 abc? A. 4 B. 8 C. 3 a D. 8 c E. 2 ac F. 4 ac G. 2 abc H. 12 a Word Problems 1) 2) The area of a rectangle is found by multiplying its length by its width. The rectangle above has a width of 5 units. The area of the rectangle is 15 x + 40 square units. What is the length of the rectangle? The area of a rectangle is found by multiplying its length by its width. The rectangle above has a width of 3 units. The area of the rectangle is 12 x + 9 square units. What is the length of the rectangle?