Find the Zeros of the Function $$f ( x ) = 2 x ^ { 2 } + 11 x + 3$$

question 35

Multiple Choice

Find the zeros of the function. Give exact answers.
- $$f ( x ) = 2 x ^ { 2 } + 11 x + 3$$

• A) \(\frac { 11 \pm \sqrt { 115 } } { 4 }\)
• B) \(\frac { - 11 \pm \sqrt { 97 } } { 2 }\)
• C) \(\frac { - 11 \pm \sqrt { 97 } } { 4 }\)
• D) \(\frac { - 11 \pm \sqrt { 115 } } { 2 }\)

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Definitions:

Double Inequality

An expression that involves two inequality signs, indicating that a value is within a certain range.

Set Notation

A system of symbols used to represent sets and the relationships and operations between them, such as union, intersection, and complement.

Absolute Value Inequality

An inequality that involves the absolute value of a variable expression, which represents a range of solutions.

Solution

The value or values that satisfy an equation, inequality, system of equations, or other mathematical condition.