AnswersNC-Math 4 CRVector Multiplication Using Matrices

Partial Fractions Answers

0 verified answers
1
Free Preview

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

Question illustration
A
StartFraction A Over x + 6 EndFraction + StartFraction B Over (x + 6) squared EndFraction
Option A
B
StartFraction A Over x + 6 EndFraction + StartFraction B x + C Over (x + 6) squared EndFraction
Option B
C
StartFraction A Over x + 6 EndFraction + StartFraction B Over (x + 6) squared EndFraction + StartFraction C Over (x + 6) cubed EndFraction
Option C
D
StartFraction A Over x + 6 EndFraction + StartFraction B x + C Over (x + 6) squared EndFraction + StartFraction D x squared + E Over (x + 6) cubed EndFraction
Option D
2
Free Preview

Which sum represents the partial fraction decomposition of ?

Question illustration
A
StartFraction A Over 3 x EndFraction + StartFraction B Over x squared minus 10 EndFraction
Option A
B
StartFraction A Over 3 x EndFraction + StartFraction B x + C Over x squared minus 10 EndFraction
Option B
C
StartFraction A Over 3 x EndFraction + B Over x squared minus 10 EndFraction + StartFraction C Over (x squared minus 10) squared EndFraction
Option C
D
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
Option D
3

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

Question illustration
A
StartFraction A Over x squared + StartFraction B Over 9 x EndFraction
Option A
B
StartFraction A Over x EndFraction + StartFraction B Over x + 9 EndFraction
Option B
C
StartFraction A x + B Over x squared EndFraction + StartFraction C Over 9 x EndFraction
Option C
D
StartFraction A x + B Over x EndFraction + StartFraction C Over x + 9 EndFraction
Option D
4

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

Question illustration
A
2 x + StartFraction A Over 3 x squared + 7 EndFraction
Option A
B
2 x + StartFraction A x + B Over 3 x squared + 7 EndFraction
Option B
C
2 x + 5 + StartFraction A Over 3 x squared + 7 EndFraction
Option C
D
2 x + 5 + StartFraction A x + B Over 3 x squared + 7 EndFraction
Option D
5

Review the work showing the first few steps in writing a partial fraction decomposition.2x2 + 15x + 19 = A(x + 4)2 + B(x + 4) + C2x2 + 15x + 19 = Ax2 + 8Ax + 16A + Bx + 4B + C

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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

Question illustration
A
5 + StartFraction 10 Over x minus 1 EndFraction + StartFraction 3 Over 3 x + 8 EndFraction
Option A
B
5 + StartFraction 10 Over x minus 1 EndFraction minus StartFraction 3 Over 3 x + 8 EndFraction
Option B
C
5 minus StartFraction 10 Over x minus 1 EndFraction + StartFraction 3 Over 3 x + 8 EndFraction
Option C
D
5 minus StartFraction 10 Over x minus 1 EndFraction minus StartFraction 3 Over 3 x + 8 EndFraction
Option D
7

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

Question illustration
A
StartFraction A Over 5 x squared + 1 EndFraction + StartFraction B Over (5 x squared + 1) squared EndFraction
Option A
B
StartFraction A x + B Over 5 x squared + 1 EndFraction + StartFraction C x + D Over (5 x squared + 1) squared EndFraction
Option B
C
StartFraction A Over (5 x squared + 1) squared EndFraction + StartFraction B Over (5 x squared + 1) squared EndFraction
Option C
D
StartFraction A x + B Over (5 x squared + 1) squared EndFraction + StartFraction C x + D Over (5 x squared + 1) squared EndFraction
Option D
8

What is the partial fraction decomposition of ?

Question illustration
A
StartFraction 6 x + 17 Over (x + 1) squared EndFraction = StartFraction 6 Over x + 1 EndFraction + StartFraction 11 Over (x + 1) squared EndFraction
Option A
B
SStartFraction 6 x + 17 Over (x + 1) squared EndFraction = StartFraction 6 Over x + 1 EndFraction + StartFraction 17 Over (x + 1) squared EndFraction
Option B
C
StartFraction 6 x + 17 Over (x + 1) squared EndFraction = StartFraction 6 Over x + 1 EndFraction + StartFraction 11 Over (x + 1) squared EndFraction
Option C
D
StartFraction 6 x + 17 Over (x + 1) squared EndFraction = StartFraction 6 Over x + 1 EndFraction minus StartFraction 17 Over (x + 1) squared EndFraction
Option D
9

Review the work showing the first few steps in writing a partial fraction decomposition.4x + 40 = A(x + 6) + B(x + 2)4x + 40 = Ax + 6A + Bx + 2B

Question illustration
A
StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction negative 12 Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction
Option A
B
StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction negative 4 Over x + 2 EndFraction + StartFraction 8 Over x + 6 EndFraction
Option B
C
StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 8 Over x + 2 EndFraction + StartFraction negative 4 Over x + 6 EndFraction
Option C
D
StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 16 Over x + 2 EndFraction + StartFraction negative 12 Over x + 6 EndFraction
Option D
10

Which expression represents the correct form of the partial fraction decomposition of ?

Question illustration
A
StartFraction A x + B Over x squared minus 64 EndFraction
Option A
B
StartFraction A Over x minus 8 EndFraction + StartFraction B Over x + 8 EndFraction
Option B
C
StartFraction A x + B Over x squared minus 64 EndFraction + StartFraction C over x minus 8 EndFraction
Option C
D
StartFraction A Over x minus 8 EndFraction + StartFraction B x + C Over (x minus 8) squared EndFraction
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Vector Multiplication Using Matrices

Quiz
10 verified answers

Conic Sections

Quiz
10 verified answers

Equations of Ellipses