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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