Warm up – Find the GCF

10-2 Factoring using the Distributive Property Objective: To use the GCF and the distributive property to factor. Standard 11.0

FACTOR: WORK BACKWARDS! 1) 3x + 3 2) 2x 2 – 6x 3) 2ab – 9a 1) 3(x + 1) 2) 2x(x – 3) 3) a(2b – 9) Question Answer: GCF (÷ out)

EXAMPLE 1 9x 2 y + 6xy 2 GCF: 3xy Divide it to the outside of some parenthesis Then write what you have left inside of the parenthesis for each term 3xy( + ) 3xy(3x+2y) 3x2y

Quick TOO

Grouping a(x + y) + b(x + y) What do they have in common? (x + y) (x + y)( ) (x+y)(a+b) a + b

Example 2: Factoring by Grouping 3am – 6bm + 5an – 10bn Group in pairs (3am – 6bm) + (5an – 10bn) Factor out GCF from each pair 3m(a – 2b) + 5n(a – 2b) (a – 2b)( ) 3m + 5n

Try with mathlete (hint: group!) 1) a 2 + 3ab + 2ac + 6bc (a + 3b)(a + 2c) 2) 15x – 3xy + 20 – 4y (5 – y)(3x + 4) How can we check our answers? BOX method!

Example 3 2my + 7x + 7m + 2xy Reorder before grouping! 2my + 2xy + 7m + 7x (2my + 2xy) + (7m + 7x) 2y(m + x) + 7(m + x) (m + x)(2y + 7)

Example 4 6xy – 15x – 8y + 20 (6xy – 15x) + (-8y + 20) Notice that I changed it to “+ (-8y)”, keep negatives with their numbers! 3x(2y – 5) + 4(-2y + 5) Factor a negative from 2 nd parenthesis 3x(2y – 5) – 4(2y – 5) (2y – 5)(3x – 4)

TOO 1) rx + 2ky + 2ry + kx Hint: Reorder 2) 10mx + 5rx – 8m – 4r Hint: Pay attention to your negatives

Homework Pg. 570 # odd Go to the choir show!!!!!!!!!!!!!!!!

Math Lab Warm up

GCF What does GCF stand for? Greatest Common Factor Example: Find the GCF 4xy and -6x GCF: 2x

Find the GCF

Factoring with GCF

Grouping Use grouping when there are 4 terms.

TOO

Puzzle time 1 puzzle paper 1 colored paper 1 scissors Listen for instructions…