full_partial_fraction_flashcards

Question 1

Recognize the structure for: 1/((x-3)(x+2))

Answer 1

A/(x-3) + B/(x+2)

Question 2

Recognize the structure for: 1/((x+4)^2(x-5))

Answer 2

A/(x+4) + B/(x+4)^2 + C/(x-5)

Question 3

Recognize the structure for: 1/(x(x^2+3x+2))

Answer 3

A/x + B/(x^2+3x+2)

Question 4

Recognize the structure for: 1/((x-1)(x^2+4))

Answer 4

A/(x-1) + (Bx+C)/(x^2+4)

Question 5

Recognize the structure for: 1/((x+3)^3)

Answer 5

A/(x+3) + B/(x+3)^2 + C/(x+3)^3

Question 6

Recognize the structure for: 1/((x-2)(x+5)(x-7))

Answer 6

A/(x-2) + B/(x+5) + C/(x-7)

Question 7

Recognize the structure for: 1/((x^2+1)(x^2+4))

Answer 7

(Ax+B)/(x^2+1) + (Cx+D)/(x^2+4)

Question 8

Recognize the structure for: 1/(x(x-3)^2)

Answer 8

A/x + B/(x-3) + C/(x-3)^2

Question 9

Recognize the structure for: 1/((x+2)(x^2+x+1))

Answer 9

A/(x+2) + (Bx+C)/(x^2+x+1)

Question 10

Recognize the structure for: 1/((x-4)^2(x^2+6x+9))

Answer 10

A/(x-4) + B/(x-4)^2 + (Cx+D)/(x^2+6x+9)