Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } - 61 x ^ { 2 } + 900$

question 51

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } - 61 x ^ { 2 } + 900$ and determine the multiplicity of each.

• A) \(x = - 5 , \text { multiplicity } 2 ; x = - 6 , \text { multiplicity } 2\)
• B) \(x = 25 , \text { multiplicity } 2 ; x = 36 \text {, multiplicity } 2\)
• C) \(x = 5 , \text { multiplicity } 2 ; x = 6 , \text { multiplicity } 2\)
• D) \(x = 25 , \text { multiplicity } 2 ; x = 6 , \text { multiplicity } 2\)
• E) \(x = 5 \text {, multiplicity } 1 ; x = - 5 \text {, multiplicity } 1 ; x = 6 \text {, multiplicity } 1 ; x = - 6 \text {, multiplicity } 1\)

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Definitions:

Cardiovascular Function

The performance and health of the heart and blood vessels, crucial for circulating blood throughout the body.

Range of Motion

The full movement potential of a joint, usually its range of flexion and extension.

Muscle Strength

The capacity of a single muscle or a collection of muscles to apply power against a resisting force.

Balance

Consists of mental, physical, emotional, spiritual, and environmental components and is attained when each component reaches a state of equilibrium.