The video tutorial explains how to determine the possible number of distinct rational roots using the rational 0 test and the carts rule of signs. It covers the process of identifying factors of the constant and leading coefficient, applying the rational 0 test, simplifying fractions, and counting the possible rational roots. The tutorial emphasizes the importance of considering both positive and negative values and provides a step-by-step example to illustrate the method. The lesson concludes with a final calculation and a reminder to be cautious to avoid mistakes.

Which two tests are introduced in the chapter to determine the number of possible rational zeros?

• Rational Zero Test and Descartes' Rule of Signs

• Pythagorean Theorem and Rational Zero Test

• Descartes' Rule of Signs and Quadratic Formula

• Rational Zero Test and Binomial Theorem

What is the first step in applying the Rational Zero Test?

• Graphing the polynomial function

• Finding the derivative of the polynomial

• Identifying the factors of the constant term and leading coefficient

• Solving the polynomial equation

When using the Rational Zero Test, what do you do after finding the factors of the constant term and leading coefficient?

• Multiply the factors

• Add the factors together

• Divide the factors by the polynomial degree

• Match each numerator with each denominator

Why is it important to consider both positive and negative values when applying the Rational Zero Test?

• Because polynomials can only have positive roots

• To ensure all possible rational roots are considered

• Negative values are not relevant in this test

• It simplifies the calculation process

What is the final step in determining the number of possible rational roots using the Rational Zero Test?

• Graphing the polynomial

• Counting the number of unique fractions obtained

• Solving the polynomial equation

• Finding the derivative of the polynomial