Greatest Common Factor and Factoring

Miss Black introduces module six of Math 099 at B Parish Community College, focusing on the concept of factoring. The video explains the greatest common factor (GCF) using basic arithmetic and applies it to algebraic expressions. Through examples and practice problems, students learn to factor expressions by identifying common factors and using the distributive property. The video emphasizes the importance of understanding GCF in both arithmetic and algebra, highlighting the difference between numerical and variable factors.

What is the main focus of module six in the math course?

• Geometry basics

• Addition and subtraction

• Multiplication and division

• Understanding factors

What does the term 'factor' mean in mathematics?

• A number that can be added

• A number that can be subtracted

• A number that can be divided

• A number that can be multiplied

How do you find the greatest common factor (GCF) of two numbers?

• By subtracting the smaller number from the larger

• By adding the numbers

• By listing the factors and finding the largest common one

• By dividing the larger number by the smaller

What is the GCF of 6 and 8?

• 3

• 1

• 4

• 2

In algebra, how do you determine the GCF of two monomials?

• By adding their coefficients

• By finding the largest common coefficient and smallest common variable exponent

• By subtracting their coefficients

• By multiplying their coefficients

What is the GCF of 14x^5y and 21x^2y^3?

• 14x^2y

• 21x^5y

• 7x^2y

• 7x^5y^3

When factoring an expression, what is the first step?

• Subtract the smallest term from the largest

• Multiply all terms

• Find the GCF of the terms

• Add all terms together

What is the result of factoring 6x - 6y using GCF?

• 6(x - y)

• x - y

• 6x + 6y

• x + y

What is the GCF of y^3 and 8y?

• y^3

• 8y

• 8

• y

How do you factor 7x^4 - 21x^2 using GCF?

• 7(x^4 - 3x^2)

• x^2(7x^2 - 21)

• 7x^2(x^2 - 3)

• 7x^4 - 21x^2