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What is the partial fraction decomposition of ?

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A
StartFraction negative 2 Over 2 x minus 5 EndFraction + StartFraction 7 Over x minus 4 EndFraction
Option A
B
StartFraction 7 Over 2 x minus 5 EndFraction + StartFraction negative 2 Over x minus 4 EndFraction
Option B
C
StartFraction 2 Over 2 x minus 5 EndFraction + StartFraction 7 Over x minus 4 EndFraction
Option C
D
StartFraction 7 Over 2 x minus 5 EndFraction + StartFraction 2 Over x minus 4 EndFraction
Option D
3

For , which expression represents the correct form of the partial fraction decomposition?

Question illustration
A
StartFraction A Over x + 1 EndFraction + StartFraction B Over (x + 1) squared EndFraction + StartFraction C Over (x + 1) cubed EndFraction + StartFraction D x + E Over x squared + 1 EndFraction + StartFraction F x + G Over (x squared + 1) squared EndFraction
Option A
B
StartFraction A Over x + 1 EndFraction + StartFraction B squared Over (x + 1) squared EndFraction + StartFraction C cubed Over (x + 1) cubed EndFraction + StartFraction D x + E Over x squared + 1 EndFraction + StartFraction (F x + G) squared Over (x squared + 1) squared EndFraction
Option B
C
StartFraction A Over x + 1 EndFraction + StartFraction B Over (x + 1) squared EndFraction + StartFraction C x + D Over x squared + 1 EndFraction + StartFraction E x + F Over (x squared + 1) squared EndFraction + StartFraction G x + H Over (x squared + 1) cubed EndFraction
Option C
D
StartFraction A Over x + 1 EndFraction + StartFraction B squared Over (x + 1) squared EndFraction + StartFraction C x + D Over x squared + 1 EndFraction + StartFraction (E x + F) squared Over (x squared + 1) squared EndFraction + StartFraction (G x + H) cubed Over (x squared + 1) cubed EndFraction
Option D

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