Use the rational zero test to determine all of the possible rational zeros

The video tutorial explains how to find possible rational zeros of a polynomial by using the factors of the constant term (P) and the leading coefficient (Q). It details the process of listing all possible P/Q values, simplifying them, and selecting the most likely candidates for further analysis. The tutorial emphasizes the importance of understanding the relationship between factors and zeros in polynomial equations.

What is the first step in finding possible zeros of a polynomial?

• Identify the factors of the constant term and leading coefficient

• Calculate the derivative of the polynomial

• Graph the polynomial

• Use synthetic division

Which of the following represents the factors of P in the example given?

• ± 4, ± 2, ± 1

• ± 3, ± 1

• 12, 6, 4, 3, 2, 1

• ± 4/3, ± 4, ± 2/3

How do you form the list of possible rational zeros?

• By adding the factors of P and Q

• By multiplying the factors of P and Q

• By subtracting the factors of Q from P

• By dividing the factors of P by the factors of Q

Which of the following is a simplified form of a possible rational zero?

• ± 4/3

• ± 7/4

• ± 5/2

• ± 6/5

Which rational zero should be tested first according to the tutorial?

• ± 4

• ± 3

• ± 2

• ± 1