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What are the possible rational zeros of f(x) = x4 + 6x3 - 3x2 + 17x - 15?
Solution:
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
The given function is
f(x) = x4 + 6x3 - 3x2 + 17x - 15
This is a fourth degree polynomial.
Using the rational root theorem, the possible zeros of the polynomial are the factors of 15.
We know that
Factors of 15 = ± 1, ±3, ±5, ±15
Therefore, the possible rational zeros are ± 1, ±3, ±5, ±15.
What are the possible rational zeros of f(x) = x4 + 6x3 - 3x2 + 17x - 15?
Summary:
The possible rational zeros of f(x) = x4 + 6x3 - 3x2 + 17x - 15 are ± 1, ±3, ±5, ±15.
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