The video tutorial covers the process of factoring polynomials to find zeros, using synthetic division to find other factors, and solving quadratic equations. The teacher explains how to set up synthetic division, perform calculations, and write the resulting factors. The tutorial also discusses using the quadratic formula when factoring is not possible, providing a comprehensive guide to solving polynomial equations.

What is the primary goal of factoring in the context of finding zeros?

• To find the zeros of the function

• To eliminate variables

• To simplify the expression

• To change the form of the equation

In synthetic division, what is the first step after setting up the division?

• Add vertically

• Multiply diagonally

• Set the factor to zero

• Bring down the first term

What is the result of multiplying negative three by negative five in the synthetic division process?

• Negative fifteen

• Negative three

• Zero

• Positive fifteen

What should you do if a quadratic expression is not factorable?

• Multiply by zero

• Try a different factor

• Ignore the expression

• Use the quadratic formula

What are the zeros found from the equation x^2 - 2x - 3?

• x = 2, x = -2

• x = 3, x = -1

• x = 1, x = -3

• x = 0, x = 3