Which of the following is part of the set of all possible rational zeros of
f(x)=2x4−x3+6x2−5x−8?
Since all coefficients are integers, we can apply the rational zeros theorem.
The trailing coefficient (the coefficient of the constant term) is
Find its factors:
These are the possible values for
The leading coefficient is
Find its factors:
These are the possible values for
Find all possible values of
Simplify and remove the duplicates (if any).
These are the possible rational roots:
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