**Graph Description and Problem Statement** **Problem Statement:** Write an expression in factored form for the polynomial of least possible degree graphed below. **Graph Explanation:** - The graph is a coordinate plane with the x-axis ranging from -5 to 5 and the y-axis ranging from -5 to 5. - It shows a polynomial curve that intercepts the x-axis at approximately x = -3, x = -1, and x = 2. - The curve likely represents a polynomial function with turning points, indicating a degree of at least three or higher. **Input Field:** - Below the graph is an input box labeled "y(x) = " where students can type their response. **Interactive Elements:** - There are options for "Question Help" such as "Video," "Message Instructor," and "Post to Forum." - A "Submit Question" button is present for students to submit their answer.

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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Q6: 

what does y(x) =___

**Graph Description and Problem Statement**

**Problem Statement:**
Write an expression in factored form for the polynomial of least possible degree graphed below.

**Graph Explanation:**
- The graph is a coordinate plane with the x-axis ranging from -5 to 5 and the y-axis ranging from -5 to 5.
- It shows a polynomial curve that intercepts the x-axis at approximately x = -3, x = -1, and x = 2.
- The curve likely represents a polynomial function with turning points, indicating a degree of at least three or higher.

**Input Field:**
- Below the graph is an input box labeled "y(x) = " where students can type their response.

**Interactive Elements:**
- There are options for "Question Help" such as "Video," "Message Instructor," and "Post to Forum."
- A "Submit Question" button is present for students to submit their answer.
Transcribed Image Text:**Graph Description and Problem Statement** **Problem Statement:** Write an expression in factored form for the polynomial of least possible degree graphed below. **Graph Explanation:** - The graph is a coordinate plane with the x-axis ranging from -5 to 5 and the y-axis ranging from -5 to 5. - It shows a polynomial curve that intercepts the x-axis at approximately x = -3, x = -1, and x = 2. - The curve likely represents a polynomial function with turning points, indicating a degree of at least three or higher. **Input Field:** - Below the graph is an input box labeled "y(x) = " where students can type their response. **Interactive Elements:** - There are options for "Question Help" such as "Video," "Message Instructor," and "Post to Forum." - A "Submit Question" button is present for students to submit their answer.
Expert Solution
Step 1

Algebra homework question answer, step 1, image 1

From the graph of the polynomial, we see that at x=-2 and x=-3 it cuts the x-axis. 

So, x=-2 and x=-3 have a root with multiplicity 1. 

 

at x=4 it touches the x-axis. 

So at x=4, has even multiplicity. 

 

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