Use the Rational Root Theorem and the Factor Theorem to Help

question 46

Multiple Choice

Use the rational root theorem and the factor theorem to help solve the equation. Be sure that the number of solutions for the equation agrees with property of number solutions of a polynomial equation, taking into account multiplicity of solutions. $2 x ^ { 4 } + x ^ { 3 } - 16 x ^ { 2 } - 3 x + 30 = 0$

• A) \(\left\{ - \frac { 5 } { 2 } , 2 , \pm \sqrt { 3 } \right\}\)
• B) \(\left\{ - \frac { 3 } { 2 } , - 2 , \pm \sqrt { 3 } \right\}\)
• C) \(\left\{ - \frac { 5 } { 2 } , - 1 \pm \sqrt { 3 } \right\}\)
• D) \(\left\{ - \frac { 9 } { 2 } , 1 \pm \sqrt { 3 } \right\}\)
• E) \(\left\{ - \frac { 5 } { 2 } , - 2 , \pm \sqrt { 3 } \right\}\)

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Definitions:

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Asymmetric Information

A situation in which one party in a transaction has more or better information than the other, often leading to an imbalance in power or unfair outcomes.

Cost of Borrowing

The total expenses, including interest and fees, associated with taking out a loan.

Lemons

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