ALGEBRA II

Factoring Polynomials

Introduction to Unit 4

Multiple Choice

Which of the following represents the factors of 12?

• 1, 12

• 1, 2, 3, 4, 6, 12

• 12, 24, 36, 48, 60

• No Factors

Poll

Which of the following do you think is the GCF of

$$12x^3+3x^2$$  

• $$3x$$  

• 3

• $$3x^2$$  

Open Ended

What does it mean when you have something in common? How can we apply that to math?

Greatest Common Factor

Definition : The biggest number that is a factor of each number!

Fill in the Blank

What is the Greatest Common Factor of 10 and 5?

Multiple Choice

What is the GCF of this expression:

$$10x^2-5$$  

• 10

• x

• 5

Multiple Choice

What is the GCF of this expression:

$$14r^{22}+7r^{22}$$  

• $$7r^{22}$$  

• 15

• No GCF

Multiple Choice

Factor to write an equivalent expression: $$36a-16$$

• 4(9a + 4)
• 2(18a - 8)
• 6(6a - 2)
• 4(9a - 4)

Multiple Choice

Factor the expression: $$-6x-18y$$ .

• -3(2x + 6y)
• -6(x - 3y)
• -2(3x + 9y)
• -6(x + 3y)

Multiple Choice

What is the factored form of the expression: $$36abc+54ad$$ ?

• 18b(2ac + 3d)
• 9a(4bc + 6d)
• 36a(1bc + 1.5d)
• 18a(2bc + 3d)

Multiple Choice

Which of the following is equivalent to w³ + 3w

• w (w²+3)

• 3w (w²+1)

• There is no GCF

Multiple Choice

Which of the following is equivalent to

$$4r^5+2r^3$$  

• $$r^3\left(4r^2+2\right)$$  

• $$2r^3\left(2r^2+1\right)$$  

• There is no GCF