Find All of the Real Zeros of the Function $$f ( x ) = 6 x ^ { 3 } + 25 x ^ { 2 } + 12 x - 7$$

question 145

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = 6 x ^ { 3 } + 25 x ^ { 2 } + 12 x - 7$$

• A) \(- 1\) (rational), \(- \frac { 7 } { 2 }\) (rational), \(\frac { 1 } { 3 }\) (rational)
• B) - 1 (rational), \(\frac { 1 } { 3 }\) (rational), \(\frac { 7 } { 2 }\) (rational)
• C) \(\frac { 1 } { 3 }\) (rational) (multiplicity 2 ); \(- \frac { 7 } { 2 }\) (rational)
• D) \(- \frac { 1 } { 3 }\) (rational), \(- \frac { 7 } { 2 }\) (rational), \(\frac { 1 } { 3 }\) (rational)

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