Determining the rational zeros by applying the rational zero test

The video tutorial explains the rational zero test, which helps determine possible rational zeros of a polynomial. It introduces the concepts of P (constant term) and Q (leading coefficient) and demonstrates how to calculate their factors. The tutorial then lists all possible rational zeros by considering the factors of P and Q. It concludes by emphasizing that these possible zeros do not guarantee actual zeros but provide a framework for further analysis.

What is the primary purpose of the Rational Zero Test?

• To identify the degree of a polynomial

• To calculate the integral of a polynomial

• To determine all possible rational zeros of a polynomial

• To find the derivative of a polynomial

What are the components P and Q in the context of the Rational Zero Test?

• P is the variable, and Q is the exponent

• P is the degree of the polynomial, and Q is the constant term

• P is the constant term, and Q is the leading coefficient

• P is the leading coefficient, and Q is the constant term

How do you determine the factors of a prime number?

• By finding its square root

• By dividing the number by two

• By identifying the number itself and one

• By listing all numbers up to the prime number

What is the significance of writing ±P/Q in the Rational Zero Test?

• It finds the polynomial's integral

• It determines the polynomial's degree

• It calculates the polynomial's derivative

• It represents the possible rational zeros

Which of the following is a possible rational zero if P = 6 and Q = 5?

• 6/5

• 1/2

• 7/5

• 5/6