First Rewrite the Quadratic Function in Standard Form by Completing $f ( x ) = 3 x ^ { 2 } + 10 x + 4 \quad$

question 36

Multiple Choice

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.
- $f ( x ) = 3 x ^ { 2 } + 10 x + 4 \quad$ Give your answers in exact form.

• A) \(x\)-intercepts: \(\frac { - 10 - \sqrt { 13 } } { 3 }\) and \(\frac { - 10 + \sqrt { 13 } } { 3 } ; y\)-intercept: 0
• B) x-intercepts: \(\frac { - 5 - \sqrt { 13 } } { 6 }\) and \(\frac { - 5 + \sqrt { 13 } } { 6 } ; y\)-intercept: 4
• C) \(x\)-intercepts: \(\frac { - 5 - \sqrt { 13 } } { 3 }\) and \(\frac { - 5 - \sqrt { 13 } } { 3 } ; y\)-intercept: 4
• D) \(x\)-intercepts: \(\frac { - 5 - \sqrt { 37 } } { 3 }\) and \(\frac { - 5 + \sqrt { 37 } } { 3 } ; y\)-intercept: 0

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