Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 36 x - 108$

question 443

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 36 x - 108$ and determine the multiplicity of each.

• A) \(x = 6 , \text { multiplicity } 2 ; x = - 3 \text {, multiplicity } 1\)
• B) \(x = 6 \text {, multiplicity } 1 ; x = - 6 \text {, multiplicity } 1 ; x = - 3 \text {, multiplicity } 1\)
• C) \(x = - 3 \text {, multiplicity } 2 ; x = - 6 \text {, multiplicity } 1\)
• D) \(x = - 6 \text {, multiplicity } 1 ; x = 3 \text {, multiplicity } 1 ; x = - 3 \text {, multiplicity } 1\)
• E) \(x = - 3 \text {, multiplicity } 3\)

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Definitions:

Write Function

A standard library function in many programming languages used to write data to a file or an output stream.

Pointers

Variables used to store the addresses of other variables or memory locations, enabling direct memory manipulation and array management.

Variables

Entities in programming that store data which can change during program execution.