Find All the Rational Zeros of the Function $f ( x ) = 2 x ^ { 5 } + x ^ { 4 } - 11 x ^ { 3 } + 7 x ^ { 2 } - 13 x + 6$

question 103

Multiple Choice

Find all the rational zeros of the function $f ( x ) = 2 x ^ { 5 } + x ^ { 4 } - 11 x ^ { 3 } + 7 x ^ { 2 } - 13 x + 6$ .

• A) \(x = - \frac { 1 } { 2 } , - 3 , - 1\)
• B) \(x = \frac { 2 } { 3 } , 1,2\)
• C) \(x = \frac { 1 } { 2 } , - \frac { 3 } { 2 } , 2\)
• D) \(x = \frac { 1 } { 2 } , - \frac { 3 } { 2 }\)
• E) \(x = \frac { 1 } { 2 } , - 3,2\)

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Definitions:

Hundredths

A numerical value equal to one part in a hundred, often used to specify precision in measurements.

Decimal Places

Refers to the number of digits to the right of the decimal point in a number, indicating its precision, often important in engineering measurements.

Extension Lines

Lines used in technical drawing that extend from the points on the drawing to which a dimension refers, helping to clearly identify the dimension's extents.

Arrowheads

Used in technical drawings to indicate the end of a dimension line or leader line.