Calculus and set of zeros help

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    Calculus Set
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Homework Help Overview

The problem involves finding the set of zeros for the polynomial function f(x) = x^3 + 4x^2 + 4x. Participants are discussing the potential solutions and verifying their reasoning regarding the roots of the function.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants examine the factorization of the polynomial and discuss the implications of the roots derived from it. There is a focus on confirming the correctness of the identified zeros and the associated answer choices.

Discussion Status

Some participants express confidence in the answer being B, while others seek validation of this conclusion. There is an acknowledgment of differing opinions, but no explicit consensus is reached regarding the final answer.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the depth of exploration into the reasoning behind the polynomial's roots.

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Homework Statement



The set of zeros of f (x) = x^3 + 4x^2 + 4x is

A) {-2}
B) {0, -2}
C) {0, 2}
D) {2}
E) {2, -2}


2. The attempt at a solution

f (x) = x^3 + 4x^2 + 4x
f (x) = (x^2 + 2x)(x + 2)
f (x) = x(x + 2)(x + 2)

x = 0 and x = -2. Is the answer B?
 
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I would appreciate the help, thanks a lot. I'm pretty sure that the answer is B, if not then you can can correct me.
 


Ok thanks a lot. Have a good weekend
 

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