Determine the Intervals on Which the Following Polynomial Is Entirely $- x ^ { 2 } - 2 x + 35$

question 120

Multiple Choice

Determine the intervals on which the following polynomial is entirely negative and those on which it is entirely positive. $- x ^ { 2 } - 2 x + 35$

• A)entirely negative: \(( - \infty , 6 )\) ; entirely positive: \(( 6 , \infty )\)
• B)entirely negative: \(( - \infty , - 7 ) , ( 5,6 )\) ; entirely positive: \(( - 7,6 )\)
• C)entirely negative: \(( - \infty , - 7 ) , ( 5 , \infty )\) ; entirely positive: \(( - 7,5 )\)
• D)entirely negative: \(( - 7,6 )\) ; entirely positive: \(( 0 , \infty )\)
• E)entirely negative: \(( - \infty , 0 )\) ; entirely positive: \(( 0 , \infty )\)

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