Factoring Expressions and GCF

The video tutorial explains how to factor the expression 9x - 15 by identifying common factors. It begins by listing the factors of 9 and 15, identifying 3 as the largest common factor. The tutorial then demonstrates factoring out the 3, resulting in the expression 3(3x - 5). The process is explained step-by-step, emphasizing the importance of finding common factors and verifying the final factored form.

What is the first step in factoring an expression like 9x - 15?

• Identify the operation used in the expression.

• Add the coefficients of the terms.

• Multiply the terms together.

• Find the common factors of the terms.

Which of the following is a factor of both 9 and 15?

• 6

• 3

• 4

• 2

What is the greatest common factor of 9 and 15?

• 3

• 9

• 1

• 5

When factoring 9x - 15, what should be placed outside the parentheses?

• 5

• 3

• 9

• 15

What expression should be inside the parentheses after factoring out the greatest common factor from 9x - 15?

• 3x - 5

• 3x + 5

• x - 5

• 9x - 15

What operation is used between the terms inside the parentheses in the factored expression?

• Subtraction

• Multiplication

• Addition

• Division

Why can't the variable 'x' be factored out in the expression 9x - 15?

• Because 'x' is already factored.

• Because 'x' is not present in both terms.

• Because 'x' is not a factor of 9.

• Because 'x' is a variable.

What is the final factored form of the expression 9x - 15?

• 9(3x - 5)

• 9(x - 5)

• 3(3x - 5)

• 3(3x + 5)