Search Header Logo
Factoring GCF and Solving Techniques

Factoring GCF and Solving Techniques

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, 6.EE.B.7, HSF-IF.C.7C

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B
,
CCSS.6.EE.B.7
,
CCSS.HSF-IF.C.7C
The video tutorial introduces factoring and its importance in solving polynomial equations. It explains the difference between factored and standard forms, emphasizing the need for factored form to apply the zero product property. The tutorial provides examples of solving equations using this property and discusses various factoring techniques, particularly focusing on the greatest common factor. It also guides viewers on writing polynomials in factored form and verifying their solutions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of factoring in solving polynomial equations?

To simplify the equation

To convert it to standard form

To find the roots or solutions

To eliminate variables

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which form of a polynomial equation is necessary for solving it?

Simplified form

Expanded form

Factored form

Standard form

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the zero product property state?

If a product is zero, the sum of the factors must be zero

If a product is zero, both factors must be zero

If a product is zero, one of the factors must be zero

If a product is zero, the difference of the factors must be zero

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation (x - 4)(x + 2) = 0, what are the solutions for x?

x = 4 and x = 2

x = 4 and x = -2

x = 0 and x = 2

x = -4 and x = 2

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for the equation 5x - 6 = 0?

x = -5/6

x = 6/5

x = 5/6

x = -6/5

Tags

CCSS.6.EE.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does factoring a polynomial involve?

Writing it as a difference of polynomials

Writing it as a quotient of polynomials

Writing it as a product of polynomials

Writing it as a sum of polynomials

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor (GCF) of 12x^2 and 24xy?

6x

12x

24x

12xy

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?