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 ?