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Find the zeros of the function:

\[ h(x) = 2x^{4} - 17x^{3} + 23x^{2} - 15x + 7 \]

If there is more than one zero, separate them with commas.

Answer :

Final answer:

To find the zeros of the given polynomial function, set the function equal to zero and solve for x using factoring, synthetic division, or the rational root theorem.

Explanation:

The zeros of a polynomial function are the values of x that make the function equal to zero. To find the zeros of the given function, h(x) = 2x^4 - 17x^3 + 23x^2 - 15x + 7, we set h(x) equal to zero and solve for x.

  1. Set h(x) = 0: 2x^4 - 17x^3 + 23x^2 - 15x + 7 = 0.
  2. Use factoring, synthetic division, or the rational root theorem to find the zeros.
  3. Once you have found the zeros, separate them with commas.

For example, if the zeros of the function are x = -1, x = 2, and x = 3, then the separated zeros would be -1, 2, 3.

Learn more about Polynomial Functions here:

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