FOIL Method and GCF Concepts

The video tutorial covers the basics of factoring, focusing on two main methods: the Greatest Common Factor (GCF) and the Difference of Two Squares. It explains how to identify and apply these methods to simplify expressions. The tutorial also demonstrates how to combine these techniques for more complex problems, providing examples and step-by-step solutions.

What is the first step in factoring a single term?

• Check if the term is a square

• Identify the greatest common factor

• Multiply by a constant

• Divide by the smallest number

What does GCF stand for in factoring?

• Greatest Common Factor

• General Common Factor

• Greatest Common Fraction

• General Common Fraction

What is the abbreviation for the difference of two squares?

• DOTS

• DTS

• DOS

• D2S

In the example 5x + 15x + 25, what is the GCF?

• 10

• 25

• 15

• 5

After factoring out the GCF in 5x + 15x + 25, what expression is left inside the brackets?

• 3x + 5

• x + 5

• 3x + 15

• x + 15

What is a key characteristic of the difference of two squares?

• Both terms are odd

• Both terms are prime

• Both terms are square rootable

• Both terms are even

In the expression 16m^2 - 9, what is the square root of the first term?

• 4m

• 16m

• 8m

• 2m

What is the result of multiplying 4m by 4m?

• 4m^2

• 8m^2

• 12m^2

• 16m^2

What is the result of square rooting 16m^2?

• 16m

• 2m

• 8m

• 4m

What is the result of square rooting 9?

• 1

• 6

• 9

• 3