Factoring Linear Binomials in Algebra

The video tutorial explains how to factor algebraic expressions by identifying common factors. It begins with an example of factoring 4x + 18, demonstrating the process of reversing the distributive property. The tutorial then moves on to another example, 12 + 32y, showing how to find the greatest common factor and factor it out. The video emphasizes understanding the concept of factoring and applying it to different expressions.

What is the first step in factoring the expression 4x + 18?

• Divide the expression by x

• Identify the highest common factor

• Apply the distributive property

• Simplify the expression

What common factor is extracted from the terms 4x and 18?

• 2

• 4

• 18

• 9

After factoring out the common factor, what is the simplified form of 4x + 18?

• 2(2x + 9)

• 4(x + 4.5)

• 18(x + 1)

• 9(2x + 2)

Which operation is reversed to factor an expression?

• Distributive property

• Multiplication

• Subtraction

• Addition

What does the expression 2(2x + 9) simplify to when distributed?

• 2x + 9

• 4x + 18

• 2x + 18

• 4x + 9

In the expression 12 + 32y, what is the greatest common factor?

• 2

• 8

• 4

• 16

How is the term 32y rewritten using its common factor?

• 32y

• 4y

• 16y

• 8y

What is the factored form of the expression 12 + 32y?

• 12(1 + 2.67y)

• 8(1.5 + 4y)

• 2(6 + 16y)

• 4(3 + 8y)

What is the simplified form of 4 times 3 plus 8y?

• 12 + 8y

• 4 + 11y

• 12 + 32y

• 7 + 8y

Which of the following is a correct representation of factoring?

• Dividing each term by the greatest common factor

• Adding a common factor to each term

• Subtracting the greatest common factor from each term

• Multiplying each term by the greatest common factor