Determine the possible rational zeros using rational zero test

The video tutorial explains the rational zero test, which helps identify possible rational zeros of a polynomial. It covers finding factors of P and Q, listing and simplifying P/Q, and applying the test using graphing calculators and synthetic division. The technique is useful for determining potential rational zeros, although it doesn't guarantee the exact zero.

What does the rational zero test help us determine?

• The exact zeros of a polynomial

• The coefficients of a polynomial

• Possible rational zeros of a polynomial

• The degree of a polynomial

When listing factors for the rational zero test, why is it important to consider both positive and negative factors?

• Because it simplifies the calculation

• Because it doubles the number of possible zeros

• Because polynomials can only have positive zeros

• Because zeros can be both positive and negative

How should you write the plus or minus sign when listing possible rational zeros?

• Before each term individually

• Only before the smallest term

• Only before the largest term

• Outside the parentheses for all terms

What is the purpose of dividing each factor of P by each factor of Q?

• To simplify the polynomial

• To list all possible rational zeros

• To determine the polynomial's degree

• To find the exact zeros of the polynomial

Why is the rational zero test useful when graphing a polynomial?

• It provides the exact graph of the polynomial

• It helps identify potential zeros to check

• It simplifies the polynomial's equation

• It determines the polynomial's maximum value