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What are the possible rational zeros of f(x) = 3x4 + x3 - 13x2 - 2x + 9?
Solution:
It is given that
f(x) = 3x4 + x3 - 13x2 - 2x + 9
The rational roots theorem states that any rational root will be a factor of the constant over a factor of the leading coefficient.
In the given equation, it is a factor of 9 over a factor of 3.
Here the factors of 9 are ±1, ±3, ±9
Factors of 3 are ±1, ±3
Therefore, the possible rational zeros are ±1, ±3, ±9, ±1/3.
What are the possible rational zeros of f(x) = 3x4 + x3 - 13x2 - 2x + 9?
Summary:
The possible rational zeros of f(x) = 3x4 + x3 - 13x2 - 2x + 9 are ±1, ±3, ±9, ±1/3.
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