Factoring Expressions and Common Factors

The video tutorial explains how to factor the quadratic expression 6x^2 - 2x by identifying and extracting common factors. The process involves recognizing that 2x is a common factor, rewriting the expression as 2x(3x - 1), and verifying the result by using the distributive property to ensure it matches the original expression.

What is the first step in factoring the expression 6x^2 - 2x?

• Divide the expression by 2.

• Add a constant to the expression.

• Identify the common factors in the terms.

• Multiply the terms together.

Which of the following is a common factor of 6x^2 and 2x?

• 6

• x^2

• 2x

• 3x

After factoring out 2x from 6x^2 - 2x, what expression is left inside the parentheses?

• 6x - 2

• 3x - 1

• x^2 - 1

• 2x - 1

What operation can be used to verify the factored expression?

• Distributive Property

• Division

• Subtraction

• Addition

What is the final factored form of the expression 6x^2 - 2x?

• 2x(3x - 1)

• 3x(2x - 1)

• 6x(x - 1)

• x(6x - 2)