How to Use Factoring to Find All of the Zeros of a Polynomial Function

The video tutorial guides students through the process of solving homework problems by factoring. It begins with an overview of the task, which involves finding zeros of a function by setting F of X to zero. The teacher explains the importance of factoring and finding the greatest common factor (GCF) before demonstrating a step-by-step example of factoring a quadratic expression. The tutorial concludes with solving the factored equation to find the zeros and their multiplicities.

What is the first step in solving for zeros in a function?

• Set the equation equal to zero

• Find the derivative

• Add a constant to both sides

• Multiply all terms by a constant

What is the first step in the factoring process?

• Identify the greatest common factor

• Expand the equation

• Divide by the leading coefficient

• Add like terms

Which of the following is a factor of the expression 3x^2 - x - 2?

• 3x + 2

• 3x - 1

• 3x - 2

• 3x + 1

What is the multiplicity of each zero in the equation discussed?

• 0

• 1

• 3

• 2

What are the zeros of the equation 3x^2 - x - 2 = 0?

• x = 0, x = 1, x = 2/3

• x = 0, x = -1, x = -2/3

• x = 0, x = 1, x = -2/3

• x = 0, x = -1, x = 2/3