Factoring Quadratic Expressions and Zeros

The video tutorial explains how to find the zeros of a quadratic expression, specifically 6x squared minus 2x. It begins by setting the expression equal to zero and identifying a common factor. The expression is then factored into 2x and 3x minus 1. Each factor is set to zero to solve for the zeros, resulting in x equals 0 and x equals one-third. The tutorial concludes by summarizing the zeros found for the quadratic expression.

What is the first step in finding the zeros of the quadratic expression 6x^2 - 2x?

• Divide by 6

• Set the expression equal to zero

• Add 2 to both sides

• Multiply by 3

What common factor is identified in the expression 6x^2 - 2x?

• 6

• x

• 2x

• 3x

After factoring out the common factor, what are the two factors of the expression?

• 2x and 3x - 1

• 3x and 2x - 1

• 6x and x - 2

• x and 6x - 2

What is one of the zeros of the quadratic expression after solving 2x = 0?

• 1/3

• 0

• 2

• 1

What is the second zero of the quadratic expression after solving 3x - 1 = 0?

• 0

• 2/3

• 1

• 1/3