Use Descartes' Rule of Signs and the Rational Zeros Theorem $$f ( x ) = 3 x ^ { 3 } - 2 x ^ { 2 } + 9 x - 6$$

question 34

Multiple Choice

Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the
zeros to factor f over the real numbers.
- $$f ( x ) = 3 x ^ { 3 } - 2 x ^ { 2 } + 9 x - 6$$

• A) \(6 ; f ( x ) = ( x - 6 ) \left( 3 x ^ { 2 } + 1 \right)\)
• B) \(3 , \frac { 2 } { 3 } , 1 ; f ( x ) = ( 3 x - 2 ) ( x - 1 ) ( x - 3 )\)
• C) \(\frac { 2 } { 3 } ; f ( x ) = ( 3 x - 2 ) \left( x ^ { 2 } + 3 \right)\)
• D) \(- 3 , - 1 , \frac { 2 } { 3 } ; f ( x ) = ( 3 x - 2 ) ( x + 1 ) ( x + 3 )\)

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Definitions:

Incidence of Skin Cancer

The frequency or number of new cases of skin cancer occurring in a specified population during a stated period of time.

UV's

Short for Ultraviolet rays, a type of electromagnetic radiation coming from the sun and artificial sources like tanning beds.

Coefficient of Determination

A measure that indicates the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Pearson Coefficient

A measure of the linear correlation between two variables, ranging from -1 to 1, where 1 means a perfect positive correlation and -1 means a perfect negative correlation.