Factoring Using the AC Method

Do Now

You will work out the answers to the questions on your do now sheet. To get a stamp you must be signed in to Quizziz today!

Multiple Choice

• Region A

• Region B

• Region C

• Region D

Multiple Choice

What are the solutions of this graph?

• -2 and 3

• -1/2 and -6

• -2 and -6

• 3 and -6

Topic 7-6 AC Method

Factoring Part 3
Pull out Guided Notes!

Standards and Objectives

Standard: A1.A.REI.B.3.a Solving a quadratic by factoring.

methods of factoring.

Agenda

1. Do Now
2.Notes on Quizziz
3. Exit Ticket/Reflection
4. Practice Assignment/HW

Open Ended

Brain Dump: What is the first step to factoring? Why is GCF so important?

Word Cloud

Can we factor $$2x^{2\ }+7x+4$$ with the methods we know so far? If so which one?

Example 1: GCF is First Step!!

Math Response

Write the factored form of $$5x^2-35x+50$$

Type answer here

Correct Answer: 5\left(x-5\right)\left(x-2\right)

Deg^°

Rad

Math Response

Write the factored form of $$6x^3+30x^2+24x$$

Type answer here

Correct Answer: 6x\left(x+1\right)\left(x+4\right)

Deg^°

Rad

AC Method- Slide, Divide, Bottoms UP

Math Response

Factor $$2x^2-x-6$$

Type answer here

Correct Answer: \left(x-2\right)\left(2x+3\right)

Deg^°

Rad

Math Response

Factor $$10x^2+3x-1$$

Type answer here

Correct Answer: \left(2x+1\right)\left(5x-1\right)

Deg^°

Rad

Example 4: Special Cases

Example 5: Special Cases

Math Response

Factor $$4x^2+12x+9$$

Type answer here

Correct Answer: \left(6x+1\right)^2

Deg^°

Rad

Math Response

Factor $$9x^2-100$$

Type answer here

Correct Answer: \left(3x+10\right)\left(3x-10\right)

Deg^°

Rad

Exit Ticket

Answer the following questions!---Show work on notecard given!

Multiple Choice

• A

• B

• C

• D

• E

Open Ended

Would you need to use the AC Method to fully factor the following? Why or why not?

Math Response

Use AC Method

Type answer here

Correct Answer: \left(2x-3\right)\left(x+5\right)

Deg^°

Rad

Open Ended

Reflection: How do you feel about today's lesson? Any questions about factoring?