Find All of the Real Zeros of the Function $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } - 4 x + 48$$

question 272

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } - 4 x + 48$$

• A) 4 (rational), \(2 + \sqrt { 13 }\) (irrational), and \(2 - \sqrt { 13 }\) (irrational)
• B) 4 (rational), 14 (rational), \(- 12\) (rational)
• C) 4 (rational), \(\sqrt { 13 }\) (irrational), and \(- \sqrt { 13 }\) (irrational)
• D) 4 (rational), \(1 + \sqrt { 13 }\) (irrational), and \(1 - \sqrt { 13 }\) (irrational)

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Definitions:

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