GCF and Factoring Concepts

The video tutorial introduces the concept of GCF factoring, explaining how to find the greatest common factor of numbers and variables. It provides two examples: the first involves factoring negative numbers and variables, while the second focuses on positive numbers and variables. The tutorial emphasizes selecting the largest number that divides both terms and the smallest variable exponent. The process involves dividing the GCF into each term to simplify the expression.

What is the first step in GCF factoring?

• Choose the largest variable.

• Find the largest number that divides both numbers.

• Choose the smallest variable.

• Find the smallest number that divides both numbers.

In the first example, what is the GCF of the numbers -3 and -6?

• -6

• -3

• 6

• 3

After finding the GCF, what is the next step in the first example?

• Multiply the GCF by each term.

• Subtract the GCF from each term.

• Add the GCF to each term.

• Divide the GCF into each term.

What is the GCF of the numbers 14 and 7 in the second example?

• 1

• 7

• 14

• 21

In the second example, what is left inside the parentheses after factoring?

• 2x + 1

• 3x + 1

• x + 3

• x + 2