# Worksheet: Rational Zeros Theorem

In this worksheet, we will practice using the rational zeros theorem to list all possible rational zeros in a given function.

**Q1: **

Using the rational zeros theorem, you can list all the possible rational zeros of the function .

What is the smallest possible rational zero?

What are the two possible rational zeros closest to zero?

- A ,
- B ,
- C ,
- D−1, 1
- E ,

What are the rational zeros, if any, of ?

- A−2, , 3
- B2, , −3
- C−2, , 1
- D2, , −1

**Q2: **

The rational zeros theorem can be used to generate a list of all possible rational zeros of a polynomial which we can then check one by one. How many possible rational zeros does the rational zeros theorem give us for the function ?

**Q3: **

The rational zeros theorem can be used to generate a list of all possible rational zeros of a polynomial which we can then check one by one. How many possible rational zeros does the rational zeros theorem give us for the function ?