Find All of the Real Zeros of the Function $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 7 x + 21$$

question 468

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 7 x + 21$$

• A) 3 (rational), 7 (rational), and \(- 7\) (rational)
• B) 3 (rational), \(2 \sqrt { 7 }\) (irrational), and \(- 2 \sqrt { 7 }\) (irrational)
• C) 3 (rational), \(\sqrt { 7 }\) (irrational), and \(- \sqrt { 7 }\) (irrational)
• D) \(- 3\) (rational), \(\sqrt { 7 }\) (irrational), and \(- \sqrt { 7 }\) (irrational)

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