Find the Real Zeros of the Function $$h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300$$

question 152

Multiple Choice

Find the real zeros of the function. List the x-intercepts of the graph of the function.
- $$h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300$$

• A) \(x = 10\)
• B) \(x = - \frac { \sqrt { 15 } } { 5 } , x = \frac { \sqrt { 15 } } { 5 } , x = - 10 , x = 10\)
• C) \(x = - 10 , x = 10\)
• D) no real solution

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Definitions:

Fibularis Longus

A muscle located on the lateral side of the lower leg, important for plantar flexion and eversion of the foot.

Gastrocnemius

The gastrocnemius is a major calf muscle that contributes to knee flexion and ankle plantarflexion, playing a crucial role in walking and jumping.

Semimembranosus

A large muscle of the posterior thigh, part of the hamstrings group, involved in hip extension and knee flexion.

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