Find the Zeros of the Polynomial Function and State the Multiplicity

question 352

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
- $$f ( x ) = 5 x ( x - 7 ) ^ { 3 } \left( x ^ { 2 } - 16 \right)$$

• A) 0 (multiplicity 1), - 16 (multiplicity 2), 7 (multiplicity 3 )
• B) 0 (multiplicity 1), \(\pm 4\) (multiplicity 2), \(- 7\) (multiplicity 3 )
• C) 0 (multiplicity 1), \(\pm 4\) (multiplicity 1), 7 (multiplicity 3 )
• D) \(\pm 4\) (multiplicity 1), 7 (multiplicity 3 )

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Definitions:

Sleep

A naturally recurring state of mind and body characterized by altered consciousness, reduced sensory activity, and inhibited voluntary muscle activity.

Non-REM (N) Sleep

A phase of sleep that excludes REM sleep, characterized by slower brain waves, reduced heart rate, and lower body temperature.

Deepest Stage

Refers to the most profound level of sleep, often associated with stage 3 and 4 of non-REM sleep, where the sleeper is least responsive to external stimuli.

Sleep

Sleep is a naturally recurring state of mind and body, characterized by altered consciousness, reduced sensory activity, and inhibition of nearly all voluntary muscles.