Solve the Polynomial Equation $$3 \mathrm { x } ^ { 3 } - \mathrm { x } ^ { 2 } - 15 \mathrm { x } + 5 = 0$$

question 109

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$3 \mathrm { x } ^ { 3 } - \mathrm { x } ^ { 2 } - 15 \mathrm { x } + 5 = 0$$

• A) \(\left\{ \frac { 1 } { 3 } , \sqrt { 5 } , - \sqrt { 5 } \right\}\)
• B) \(\left\{ - \frac { 1 } { 3 } , \sqrt { 5 } , - \sqrt { 5 } \right\}\)
• C) \(\{ 3 , \sqrt { 5 } , - \sqrt { 5 } \}\)
• D) \(\{ - 3 , \sqrt { 5 } , - \sqrt { 5 } \}\)

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Definitions:

Urinary Diversion

A surgical procedure to redirect urine flow from its normal pathway due to disease or injury, often involving the creation of a stoma on the abdominal wall.

Ileal Conduit

A surgical procedure to create a new path for urine to exit the body after the bladder has been removed, using a segment of the ileum (part of the small intestine).

Urostomy Self-care

The practices and activities undertaken by individuals with a urostomy, an artificial opening for urine passage, to manage their health and appliance.

Urine Output

The amount of urine produced by the kidneys, which is a key indicator of kidney function and fluid balance in the body.