In this lesson, we will learn how to use the rational zeros theorem to list all possible rational zeros in a given polynomial function.
Students will be able to
Q1:
Using the rational zeros theorem, you can list all the possible rational zeros of the function 𝑔(𝑥)=5𝑥−6𝑥−29𝑥+6.
What is the smallest possible rational zero?
What are the two possible rational zeros closest to zero?
What are the rational zeros, if any, of 𝑔(𝑥)?
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 ℎ(𝑥)=9𝑥+6𝑥−2𝑥+68𝑥−27𝑥−14?
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 𝑘(𝑥)=9𝑥−18𝑥+35𝑥−18?
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