Write the Form of the Partial Fraction Decomposition of the Rational

question 37

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants. $\frac { 6 x ^ { 2 } - 1 } { ( x + 8 ) ^ { 3 } }$

• A) \(\frac { A } { x + 8 } + \frac { B x } { ( x + 8 ) ^ { 2 } } + \frac { C x ^ { 2 } } { ( x + 8 ) ^ { 3 } }\)
• B) \(\frac { A x + B } { x + 8 } + \frac { C x + D } { ( x + 8 ) ^ { 2 } } + \frac { E x + F } { ( x + 8 ) ^ { 3 } }\)
• C) \(\frac { A x ^ { 2 } } { ( x + 8 ) ^ { 3 } } + \frac { B } { ( x + 8 ) ^ { 3 } }\)
• D) \(\frac { A } { x + 8 } + \frac { B } { ( x + 8 ) ^ { 2 } } + \frac { C } { ( x + 8 ) ^ { 3 } }\)
• E) \(\frac { A } { x + 8 } + \frac { B } { ( x + 8 ) ^ { 2 } }\)

---

Definitions:

Masturbates

The act of self-stimulation of one’s own genitals, often to the point of orgasm, as a form of sexual pleasure.

Dildo

A sex toy that is typically shaped like a penis and is used for sexual penetration or other sexual activity.

Pubic Lice

Small parasites that infest the genital area's hair, causing itching and discomfort; commonly known as crabs.

Genital Sex

A rephrased definition could be: Intimate physical activities involving the genitals, aimed at achieving sexual pleasure or reproduction.