Factoring Polynomials with common monomial factor

Factoring Polynomials with common Monomial Factor

What is our take away?

Competency:

Factors complete different types of polynomials with common monomial factor.

Draw

A. What do i know?

B. What i want to know?

C. What I learned?

Vocabularies:

• Polynomial

• Monomial

• Factor

• GCF (Greatest Common factor)

Multiple Choice

GCF of 10 and 50

• 10
• 2
• 5
• 50

Multiple Choice

GCF of 5 and 35

• 7
• 5
• 2
• 35

Multiple Choice

GCF of 8 and 20

• 8
• 2
• 4
• 10

Open Ended

How do you get the GCF (Greatest Common Factor)?

​How about this one?

Multiple Choice

What is the Greatest Common Factor of 30, 40, 50?

• 10

• 15

• 20

• 5

Multiple Select

What is the Greatest Common Factor of 3, 24, 12?

• 3

• 12

• 6

• 4

Multiple Choice

What is the greatest common factor of b⁴ and b⁸?

• b⁴

• b⁸

• b²

• b

Multiple Choice

What is the greatest common factor of 8x² and 4x?

• 8x²

• 4x²

• 2x

• 4x

Multiple Choice

What is the greatest common factor of 12c⁴ and 6c²?

• 6c⁴

• 6c²

• 2c²

• 12c⁴

How do we factor out Polynomials with common Monomial factor?

​Example 1:

​Example 2:

​Example 3:

​Example 4:

Draw

Try these two questions in pairs...

Multiple Choice

Factor 6x + 10

• 3(2x + 5)

• 2(3x + 5)

• 2(3x - 5)

• -2(3x + 5x)

Multiple Choice

Factor 8x + 4y + 12

• 4x(2 + y + 3)

• 4xy(2 + y + 3)

• 4(2 + y + 3)

• 4(2x + y + 3)

Multiple Choice

Find the fators of 10x³ + 2x² + 4x

• 10(x³ + 2x² + 4x)

• 10x(x² + 2x + 4)

• x(10x² + 2x + 4)

• 2x(5x² + x + 2)

Multiple Choice

Factor 9y³ - y² - y

• 9(y³ - y² - y)

• y(9y² - y - 1)

• 1(9y³ - y² - y)

• y(9y² - y - y)

Multiple Choice

18x⁴y⁵ + 36x³y⁷

• 18xy (x³y⁴+ 2x²y⁶)

• 18x³y⁷ (x + 2y)

• 18x³y⁵ (x + 2y²)

• 18x³y (x + 2y)

​Traffic Lights AHEAD...

Poll

Traffic Lights...

​https://youtu.be/jO8pANH1pEA?si=CZKtUr3DBPEzwp5X

​https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:gcf/e/greatest-common-factor-of-monomials

​https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-factoring-polynomials-common-factors/e/factoring-polynomials

Exit Ticket:

​With your experience in factoring polynomials with common monomial factor, how would you help your friend/s understand the lesson?

Think of a real life scenario where you can apply factoring polynomials with a common monomial.

HOMEWORK