All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x3 - 6x? + 12x – 8 X = Write the polynomial in factored form. (x – 2)3 P(x) = Need Help? Read It Watch It

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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i don't know how is it not just 2, tried every possible number

**Finding Zeros of a Polynomial**

**Problem Statement:**
All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

Given polynomial:
\[ P(x) = x^3 - 6x^2 + 12x - 8 \]

**Solution:**
- \( x = \) [box for input]

**Feedback:**
- [Red Cross] - Indicates incorrect entry for zeros.

**Factored Form:**
Write the polynomial in factored form.

\[ P(x) = (x - 2)^3 \]

- [Green Checkmark] - Indicates the correct factored form.

**Need Help?**
- **Read It** [Button for additional reading resources]
- **Watch It** [Button for video resources]

In this example, the polynomial is completely factored as \( P(x) = (x - 2)^3 \), which shows that the zero \( x = 2 \) has a multiplicity of 3.
Transcribed Image Text:**Finding Zeros of a Polynomial** **Problem Statement:** All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) Given polynomial: \[ P(x) = x^3 - 6x^2 + 12x - 8 \] **Solution:** - \( x = \) [box for input] **Feedback:** - [Red Cross] - Indicates incorrect entry for zeros. **Factored Form:** Write the polynomial in factored form. \[ P(x) = (x - 2)^3 \] - [Green Checkmark] - Indicates the correct factored form. **Need Help?** - **Read It** [Button for additional reading resources] - **Watch It** [Button for video resources] In this example, the polynomial is completely factored as \( P(x) = (x - 2)^3 \), which shows that the zero \( x = 2 \) has a multiplicity of 3.
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