Solve the Polynomial Equation by Factoring and Then Using the Zero

question 153

Multiple Choice

Solve the polynomial equation by factoring and then using the zero product principle.
- $$3 x - 4 = 12 x ^ { 3 } - 16 x ^ { 2 }$$

• A) \(\left\{ - \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 4 } { 3 } \right\}\)
• B) \(\left\{ 0 , \frac { 4 } { 3 } \right\}\)
• C) \(\left\{ - \frac { 1 } { 4 } , \frac { 1 } { 4 } , \frac { 4 } { 3 } \right\}\)
• D) \(\left\{ - \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 3 } { 4 } \right\}\)

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Definitions:

Futures Price

The agreed price for the future delivery of an asset in a futures contract market.

Spot Exchange Rate

The current exchange rate at which one currency can be traded for another immediately.

Arbitrage

The strategy of exploiting price differences of identical or similar financial instruments across different markets to gain profit with minimal risk.