Simplify the Rational Expression $\frac { 4 x ^ { 3 } + x ^ { 2 } - 51 x + 36 } { 4 x - 3 }$

question 208

Multiple Choice

Simplify the rational expression, $\frac { 4 x ^ { 3 } + x ^ { 2 } - 51 x + 36 } { 4 x - 3 }$ , by using long division or synthetic division.

• A) \(x ^ { 2 } + 7 x + 16\)
• B) \(x ^ { 2 } - 7 x - 12\)
• C) \(x ^ { 2 } - 6 x + 12\)
• D) \(x ^ { 2 } + 8 x + 9\)
• E) \(x ^ { 2 } + x - 12\)

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Definitions:

Oedipus Complex

A Freudian concept describing a child's feelings of desire for the opposite-sex parent and jealousy and rivalry with the same-sex parent.

Sibling Rivalry

Competition, jealousy, and conflict between siblings for parental attention, affection, or recognition.

Physical Inferiority

A perceived or actual physical weakness or inadequacy compared to others.

Personality Theory

A system of concepts and assumptions used to understand and explain individual differences in behavior and personality traits.