Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 6 x ^ { 2 }$

question 315

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 6 x ^ { 2 }$ and determine the multiplicity of each.

• A) \(x = 0 \text {, multiplicity } 2 ; x = - 1 \text {, multiplicity } 1 ; x = - 6 \text {, multiplicity } 1\)
• B) \(x = 1 , \text { multiplicity } 2 ; x = 6 , \text { multiplicity } 2\)
• C) \(x = 0 \text {, multiplicity } 2 ; x = 1 \text {, multiplicity } 1 ; x = 6 \text {, multiplicity } 1\)
• D) \(x = - 1 , \text { multiplicity } 2 ; x = - 6 , \text { multiplicity } 2\)
• E) \(x = 0 , \text { multiplicity } 1 ; x = 1 , \text { multiplicity } 1 ; x = - 1 , \text { multiplicity } 1 ; x = 6 \text {, multiplicity } 1\)

---

Definitions:

Home-School Coordinator

An individual who facilitates communication and partnership between a student's school and their family, aiming to promote educational success.

Culturally

Related to the ideas, customs, social behaviors, and artifacts of a particular society, group, or time period.

Linguistically Diverse

Characterized by a variety of languages spoken by a group or community's members.

School Stakeholders

Individuals or groups with an interest in the success and welfare of a school, including students, parents, teachers, and the community.