Choose the One Alternative That Best Completes the Statement or Answers

question 253

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
List the possible rational zeros.
- $$f ( x ) = 25 x ^ { 4 } - 7 x ^ { 3 } + 2 x + 10$$

• A) \(\pm 1 , \pm \frac { 1 } { 5 } , \pm \frac { 1 } { 25 } , \pm 5 , \pm 2 , \pm 10 , \pm \frac { 2 } { 5 } , \pm \frac { 2 } { 25 }\)
• B) \(\pm 1 , \pm \frac { 1 } { 5 } , \pm \frac { 1 } { 25 } , \pm 5 , \pm \frac { 5 } { 2 } , \pm 25 , \pm \frac { 25 } { 2 }\)
• C) \(- 1 , - \frac { 1 } { 5 } , - \frac { 1 } { 25 } , - 5 , - 2 , - \frac { 2 } { 5 } , - \frac { 2 } { 25 }\)
• D) \(1 , \frac { 1 } { 5 } , \frac { 1 } { 25 } , 5,2 , \frac { 2 } { 5 } , \frac { 2 } { 25 }\)

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Definitions:

Cyclic Products

Molecules that form rings during a chemical reaction, often increased in stability compared to their open-chain counterparts.

Grubbs Catalyst

A series of transition metal carbene complexes used in olefin metathesis reactions, known for their robustness and wide applicability in organic synthesis.

1,8-nonadiene

An organic compound, a diene with the formula C9H16, featuring double bonds at the 1st and 8th positions, used in the synthesis of polymers and chemicals.

Cationic Polymerization

A type of polymerization initiated by a positively charged species (cation), leading to the formation of polymers.