Greatest Common Factor Concepts

The video tutorial introduces the concept of factoring, explaining what factors are and how to find the greatest common factor (GCF). It provides examples of factoring expressions and introduces factoring by grouping, a method used to factor polynomials into binomials. The tutorial emphasizes the importance of checking work using the distributive property and invites viewers to engage with the content by leaving comments and subscribing for more tutorials.

What is a factor in mathematics?

• A number that is subtracted from another number

• A number that is added to another number

• A number that is multiplied by another number to get a product

• A number that divides another number

Which of the following is a factor pair of 24?

• 6 and 5

• 5 and 5

• 2 and 12

• 7 and 3

What does GCF stand for in mathematics?

• Greatest Coefficient Factor

• General Common Factor

• Greatest Common Fraction

• Greatest Common Factor

In the expression 3y^2 + 12y, what is the GCF?

• 12

• 3y

• y

• 3

What is left after factoring out the GCF from 3y^2 + 12y?

• y + 4

• 3y^2 + 4

• 3y + 4

• y^2 + 4

In the expression 2z^3 + 8z^2 - 4z, what is the GCF?

• 2

• z

• 2z

• 4z

After factoring out the GCF from 2z^3 + 8z^2 - 4z, what is the remaining expression?

• z^3 + 4z^2 - 2z

• 2z^3 + 4z^2 - 2z

• 2z^2 + 4z - 2

• z^2 + 4z - 2

What is the GCF of the expression 5y^5 + 10y^4 - 15y^3 + 10y^2?

• 5y^2

• 5y^3

• 10y^2

• 15y^3

What is left after factoring out the GCF from 5y^5 + 10y^4 - 15y^3 + 10y^2?

• y^3 + 2y^2 - 3y + 1

• y^3 + 2y^3 - 3y + 2

• y^3 + 2y^2 - 3y + 2

• y^4 + 2y^3 - 3y^2 + 2

In the expression a^2b + ab^2 + ab, what is the GCF?

• a

• b

• ab

• a^2b