How to apply the rational root test to determine your rational zeros

The video tutorial explains how to find the zeros of a polynomial that cannot be easily factored. It introduces the rational zero test, which helps list all possible rational zeros by using the factors of the constant term and the leading coefficient. The tutorial walks through the process of listing these possible zeros and simplifying them to identify potential rational zeros.

What is the main challenge in finding the zeros of the given polynomial?

• It is a quadratic polynomial.

• It cannot be factored easily.

• It has no real zeros.

• It is already in factored form.

What does the Rational Zero Test help us determine?

• The exact zeros of a polynomial.

• The possible rational zeros of a polynomial.

• The irrational zeros of a polynomial.

• The imaginary zeros of a polynomial.

In the Rational Zero Test, what do P and Q represent?

• The polynomial's constant term and degree.

• The polynomial's roots and degree.

• The polynomial's degree and leading coefficient.

• Factors of the polynomial's leading coefficient and constant term.

Which of the following is a possible rational zero for the polynomial?

• ± 6

• ± 5

• ± 4

• ± 7

Which of the following is NOT a factor of 6?

• ± 5

• ± 2

• ± 3

• ± 1

How are repeated possible rational zeros handled in the list?

• They are highlighted.

• They are doubled.

• They are eliminated.

• They are ignored.

What is the significance of the final list of possible rational zeros?

• It contains all possible zeros of the polynomial.

• It contains all possible irrational zeros of the polynomial.

• It contains all possible imaginary zeros of the polynomial.

• It contains all possible rational zeros of the polynomial.