# What are the possible rational zeros of f(x) = x^{4} + 6x^{3} - 3x^{2} + 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) = x^{4} + 6x^{3} - 3x^{2} + 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) = x^{4} + 6x^{3} - 3x^{2} + 17x - 15?

**Summary:**

The possible rational zeros of f(x) = x^{4} + 6x^{3} - 3x^{2} + 17x - 15 are ± 1, ±3, ±5, ±15.

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