What do you know about factoring?

What do you know about factoring?

Intro to Unit 5 Pt. 2

Factor

The diagram shows all of the factors of 72. Factors are numbers that a number can be divided by evenly.

Greatest Common Factor (GCF)

The BIGGEST number that divides two numbers evening. For example, the biggest number that goes into 12 and 16 evenly is 4.

Multiple Select

Which of the following are factors of 9 ? Select all that apply:

• 1

• 2

• 3

• 6

• 9

Multiple Choice

What is the GCF of 18 & 24?

• 1

• 2

• 3

• 6

• 12

Multiple Choice

What is the GCF of 8 and 36?

• 2

• 4

• 8

• 9

Multiple Choice

What is the GCF of 12 & 33?

• 1

• 6

• 3

• 11

Factors with Variables & Exponents

•  $15x^2y^3=5\cdot3\cdot x\cdot x\cdot y\cdot y\cdot y$  

• Remember, exponents are repeated multiplication

GCF with variables & exponents

• Expand each term to show the repeated multiplication

•  $36x^2y=2\cdot2\cdot3\cdot3\cdot x\cdot x\cdot y$  

•  $16xy=2\cdot2\cdot2\cdot2\cdot x\cdot y$  

• Look for what they have in common

• The GCF is $2\cdot2\cdot x\cdot y\ or\ 4xy$  

Multiple Choice

What is the GCF of 4x & 2x?

• 4

• 2

• 4x

• 2x

Multiple Choice

What is the GCF of 25x³ & 15x

• 5

• 5x²

• 5x

• 20x

Multiple Choice

What is the GCF of 12x²y² & 16xy³

• 4xy²

• 6xy

• 4xy

• 4x²y²

Factoring a polynomial

• We can take the GCF out of a polynomial and show what is left behind.

• The GCF of 8y - 2y² = 2y

• We put the GCF outside of the parenthesis and divide each term by the GCF to show what is left behind

•  $2y\left(\frac{8y}{2y}-\frac{2y^2}{2y}\right)=2y\left(4-y\right)$  

Try some on your own!

• Go to the Google Classroom and complete the Quizizz GCF practice

• Remember, we are doing this same lesson again tomorrow so don't panic if it is difficult for you.