Find a polynomial function of smallest degree with integer coefficients that has the given zeros. 4 - i, 4 + i 33x 17 P(x) = x3 +19x 4 Need Help? Read It Watch t

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Polynomial Function Problem**

**Objective:**
Find a polynomial function of smallest degree with integer coefficients that has the given zeros.

**Given Zeros:**
- \( \frac{1}{4} \)
- \( 4 - i \)
- \( 4 + i \)

**Solution Attempt:**

\[ P(x) = x^3 - \frac{33x^2}{4} + 19x - \frac{17}{4} \]

---

**Solution Status:**
The solution provided is marked with a red "X," indicating that it is incorrect.

**Need Help?**
Options provided:
- [Read It] [Watch It]

The problem involves finding a polynomial function based on the specified zeros, which include real and complex numbers. The task requires ensuring the polynomial has integer coefficients and correctly represents all specified zeros.
Transcribed Image Text:**Polynomial Function Problem** **Objective:** Find a polynomial function of smallest degree with integer coefficients that has the given zeros. **Given Zeros:** - \( \frac{1}{4} \) - \( 4 - i \) - \( 4 + i \) **Solution Attempt:** \[ P(x) = x^3 - \frac{33x^2}{4} + 19x - \frac{17}{4} \] --- **Solution Status:** The solution provided is marked with a red "X," indicating that it is incorrect. **Need Help?** Options provided: - [Read It] [Watch It] The problem involves finding a polynomial function based on the specified zeros, which include real and complex numbers. The task requires ensuring the polynomial has integer coefficients and correctly represents all specified zeros.
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