Factoring and Greatest Common Factors

The video tutorial explains how to factor the expression 8x^2 + 4x. It involves two main steps: factoring constants and variables. First, the factors of the constants 8 and 4 are identified, with 4 being the greatest common factor. Then, the variables x^2 and x are factored, with x being the greatest common factor. These factors are combined to complete the factoring process, resulting in the expression 4x(2x + 1).

What is the first step in factoring the expression 8x^2 + 4x?

• Add the coefficients of x.

• Divide the expression by 2.

• Identify the greatest common factor of the constants.

• Multiply the terms together.

Which of the following is a factor of 8?

• 3

• 7

• 5

• 4

What is the greatest common factor of the constants 8 and 4?

• 1

• 8

• 4

• 2

How is x^2 expressed in terms of its factors?

• x + x

• 2x

• x * x

• x^3

What is the greatest common factor of the variables x^2 and x?

• 1

• 2x

• x

• x^2

What do you multiply 4x by to get 8x^2?

• 2x

• 2

• x

• 4

What is the complete factored form of 8x^2 + 4x?

• x(8x + 4)

• 8x(x + 1)

• 2x(4x + 1)

• 4x(2x + 1)