Learn How to Factor a Polynomial to Third Power to Determine Zeros

The video tutorial explains how to solve for zeros in a polynomial equation by factoring. It begins with an introduction to the concept of zeros and the importance of factoring as a time-efficient method. The instructor demonstrates factoring out common terms and solving a quadratic equation by further factoring. The process of finding zeros by setting each factor to zero is explained, with examples similar to those found in homework quizzes.

What is the first step in solving for the zeros of a polynomial equation?

• Multiply all terms by a constant

• Divide all terms by the highest coefficient

• Set the equation equal to zero

• Add a constant to both sides

When factoring an equation, what should you look for among the terms?

• The largest constant

• The smallest coefficient

• The highest exponent

• A common factor

After factoring out the common factor, what is the next step in solving the equation?

• Multiply the factors together

• Divide the factors by a constant

• Set each factor equal to zero

• Add the factors

What method is used to find numbers that multiply to a product and add to a sum in a quadratic equation?

• Square method

• Triangle method

• Circle method

• Diamond method

What are the zeros of the equation x^2 - 5x - 6 = 0 after factoring?

• x = 5 and x = -6

• x = 6 and x = -1

• x = 0 and x = 1

• x = -5 and x = 6