Find the Real Zeros of the Function, State Their Multiplicities $f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 4 \right) \left( x ^ { 2 } + 36 \right)$

question 86

Multiple Choice

Find the real zeros of the function, state their multiplicities if it is a number other than 1.
- $f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 4 \right) \left( x ^ { 2 } + 36 \right)$

• A) \(x = 0\), multiplicity: 2
• \[x = 2 , x = - 2\]
• B) \(x = 0\), multiplicity: 2
• \[\begin{array} { l }
• x = 2 , x = - 2 \\
• x = 6 , x = - 6
• \end{array}\]
• C) \(x = 0\), multiplicity: 2
• \(x = - 2\), multiplicity: 2
• D) \(\mathrm { x } = 0\), multiplicity: 2
• \(x = 2\), multiplicity: 2

---

Definitions:

Enumeration Statement

In programming, an enumeration is a data type allowing variables to be assigned names to integral constants, making the code more readable.

User-created Identifier

A name defined by the programmer that represents variables, functions, or other entities within the code.

Enumeration

A user-defined data type in programming that consists of a set of named integer constants.