Partial Fractions

Question 1

What is the correct form of the partial fraction decomposition for the expression ?

Revolt · Accepted Answer

StartFraction A Over x EndFraction + StartFraction B Over x + 9 EndFraction

Question 2

Which sum represents the partial fraction decomposition of ?

Revolt · Accepted Answer

StartFraction A Over 3 x EndFraction + StartFraction B x + C Over x squared minus 10 EndFraction + StartFraction D x + E Over (x squared minus 10) squared

Question 3

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of ?

Revolt · Accepted Answer

2 x + 5 + StartFraction A x + B Over 3 x squared + 7 EndFraction

Question 4

What is the partial fraction decomposition of ?

Revolt · Accepted Answer

StartFraction negative 3 Over x + 8 EndFraction + StartFraction 11 Over x minus 1 EndFraction

Question 5

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of ?

Revolt · Accepted Answer

A + StartFraction B Over x minus 3 EndFraction + StartFraction C Over (x minus 3) squared EndFraction

Question 6

What is the correct form of the partial fraction decomposition for the expression ?

Revolt · Accepted Answer

StartFraction A Over x + 2 EndFraction + StartFraction B Over 4 x minus 3 EndFraction

Question 7

Review the work showing the first few steps in writing a partial fraction decomposition.12x – 25 = A(2x – 3) + B12x – 25 = 2Ax – 3A + B

Revolt · Accepted Answer

StartFraction 6 Over 2 x minus 3 EndFraction minus StartFraction 7 Over (2 x minus 3) squared EndFraction

Question 8

What is the quotient and remainder, written as partial fractions, of ?

Revolt · Accepted Answer

5 + StartFraction 10 Over x minus 1 EndFraction minus StartFraction 3 Over 3 x + 8 EndFraction

Question 9

What is the quotient and remainder, written as partial fractions, of ?

Revolt · Accepted Answer

2 x minus 4 minus StartFraction 2 Over x + 4 EndFraction + StartFraction 1 Over x minus 2 EndFraction

Partial Fractions Answers

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