Use the Rational Zero Theorem to List All Possible Rational $$f ( x ) = 5 x ^ { 3 } - x ^ { 2 } + 3$$

question 101

Multiple Choice

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
- $$f ( x ) = 5 x ^ { 3 } - x ^ { 2 } + 3$$

• A) \(\pm \frac { 1 } { 5 } , \pm \frac { 3 } { 5 } , \pm 1 , \pm 3\)
• B) \(\pm \frac { 1 } { 3 } , \pm \frac { 5 } { 3 } , \pm 1 , \pm 5\)
• C) \(\pm \frac { 1 } { 5 } , \pm \frac { 3 } { 5 } , \pm 1 , \pm 3 , \pm 5\)
• D) \(\pm \frac { 1 } { 5 } , \pm \frac { 1 } { 3 } , \pm 1 , \pm 3 , \pm 5\)

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Definitions:

Gastrocnemius

A major calf muscle that flexes the knee and aids in the plantar flexion of the foot.

Biceps Brachii

A muscle of the upper arm that functions to flex the elbow and rotate the forearm, comprised of two heads.

External Oblique

A muscle located in the abdomen that helps in rotating the trunk and flexing the spine.

External Oblique

A muscle located on the lateral and anterior parts of the abdomen, involved in the movement and support of the trunk.