Determine the Real Zeros of the Polynomial and Their Multiplicities $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$$

question 81

Multiple Choice

Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the
x-axis at each zero.

- $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$$

• A)4, multiplicity 2, touches x-axis
• B)-5, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis
• C)-5, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis
• D)4, multiplicity 2, crosses x-axis

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Definitions:

Parathyroid Hormone

An agent generated by the parathyroid glands, tasked with managing the amount of calcium in the blood and the metabolism of bones.

Calcitonin

A hormone produced by the thyroid gland that helps regulate blood calcium levels by lowering them when too high.

Parathyroid Hormone

A substance secreted by the parathyroid glands responsible for controlling blood calcium concentrations and bone metabolism.

Synergistically

In cooperation such that the result or effect is greater than the sum of individual effects.