How Many Real Roots Does the Equation $x ^ { 5 } - 7 x + c = 0$

question 1

Multiple Choice

How many real roots does the equation $x ^ { 5 } - 7 x + c = 0$ have in the interval $[ - 1,1 ]$ ?

• A) at most five real roots
• B) no real roots
• C) at most one real root
• D) at most two real roots
• E) at most three real roots

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Definitions:

Whitley v.Albers

A U.S. Supreme Court case that addressed the use of force in prisons, establishing standards for considering such force a violation of the Eighth Amendment.

Eighth Amendment

A provision of the United States Constitution that prohibits the federal government from imposing excessive bail, excessive fines, or cruel and unusual punishment.

Cruel and Unusual Punishment

Punishment that is considered unacceptable due to the suffering, pain, or humiliation it inflicts on the person subjected to it, prohibited by the eighth amendment in the US Constitution.

Deadly Force

The use of force that is likely to cause death or serious bodily harm to another person.