Find All the Rational Zeros of the Function $f ( x ) = - 2 x ^ { 4 } - x ^ { 3 } + 51 x ^ { 2 } + 25 x - 25$

question 52

Multiple Choice

Find all the rational zeros of the function $f ( x ) = - 2 x ^ { 4 } - x ^ { 3 } + 51 x ^ { 2 } + 25 x - 25$ .

• A)x = 1,-5,5,-2
• B)x = -2,-5,-5
• C)x = -1,-5,5, \(\frac { 1 } { 2 }\)
• D)​x = \(- \frac { 1 } { 5 }\) , \(\frac { 5 } { 2 }\) , \(\frac { 1 } { 2 }\) ,5
• E)​x = -2,-5, \(\frac { 5 } { 2 }\) , \(\frac { 1 } { 2 }\)

Explain the consequences of surplus and shortage caused by price controls.

Describe how price controls affect consumer welfare and market efficiency.

Understand the rationales behind imposing and removing price controls.

Evaluate the impact of supply and demand changes under different price controls.

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