Question 1

Use the factor theorem to decide whether or not the second polynomial is a factor of the first.
-  - 5x + 2; x + 2

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No B

Question 2

Find all real and imaginary solutions.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    D

Question 3

Find all of the real and imaginary roots, stating the multiplicity of each.
-

Accepted Answer

A)  4 with multiplicity 12 with multiplicity 1 
B)    with multiplicity 1 
C)    with multiplicity 1   with multiplicity 1 
D)    with multiplicity 1   with multiplicity 1 
A)  4 with multiplicity 12 with multiplicity 1 
B)    with multiplicity 1 
C)    with multiplicity 1   with multiplicity 1 
D)    with multiplicity 1   with multiplicity 1 D

Question 4

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Determine whether the given number is a zero of the polynomial function.
-P(x) = -   - 7x - 4; -3

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 6

Give the interval where the function increases or decreases, as requested.
-f(x) =   - 3 increases

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Determine whether   .
-y =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Use the leading coefficient test to determine whether   .
-y =

Accepted Answer

A)    
B)    
A)    
B)

Question 9

Determine whether   .
-y =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Give the interval where the function increases or decreases, as requested.
-f(x) =   + 2 decreases

Accepted Answer

A)    
B)  [0,-2] 
C)    
D)  [2,0] 
A)    
B)  [0,-2] 
C)    
D)  [2,0]

Question 11

Find the equation that the given graph represents.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Use the leading coefficient test to determine whether   .
-y =

Accepted Answer

A)    
B)    
A)    
B)

Question 13

Find all of the real and imaginary roots, stating the multiplicity of each.
-

Accepted Answer

A)  -6 with multiplicity 36 with multiplicity 2 
B)  4 with multiplicity 1-6 with multiplicity 36 with multiplicity 3 
C)  4 with multiplicity 16 with multiplicity 1-6 with multiplicity 1 
D)  -6 with multiplicity 26 with multiplicity 3 
A)  -6 with multiplicity 36 with multiplicity 2 
B)  4 with multiplicity 1-6 with multiplicity 36 with multiplicity 3 
C)  4 with multiplicity 16 with multiplicity 1-6 with multiplicity 1 
D)  -6 with multiplicity 26 with multiplicity 3

Question 14

State the degree of the polynomial equation.
-

Accepted Answer

A)  2 
B)  4 
C)  3 
D)  5 
A)  2 
B)  4 
C)  3 
D)  5

Question 15

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation.
--

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Solve the quadratic inequality by graphing an appropriate quadratic function.
-  + 3 > 0

Accepted Answer

A)    
B)    
C)    
D)  No solution 
A)    
B)    
C)    
D)  No solution

Question 17

Determine whether   .
-y =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Solve the rational inequality. State the solution set using interval notation.
-

Accepted Answer

A)    
B)    
C)  No solution 
D)    
A)    
B)    
C)  No solution 
D)

Question 19

Solve the problem.
-The polynomial   measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 11 and 12 seconds?

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 20

Find a polynomial equation with real coefficients that has the given roots.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Use the factor theorem to decide whether or not the second polynomial is a factor of the first. - - 5x + 2; x + 2

Find all real and imaginary solutions. -

Find all of the real and imaginary roots, stating the multiplicity of each. -

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second. -

Determine whether the given number is a zero of the polynomial function. -P(x) = - - 7x - 4; -3

Give the interval where the function increases or decreases, as requested. -f(x) = - 3 increases

Determine whether . -y =

Use the leading coefficient test to determine whether . -y =

Determine whether . -y =

Give the interval where the function increases or decreases, as requested. -f(x) = + 2 decreases

Find the equation that the given graph represents. -

Use the leading coefficient test to determine whether . -y =

Find all of the real and imaginary roots, stating the multiplicity of each. -

State the degree of the polynomial equation. -

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation. --

Solve the quadratic inequality by graphing an appropriate quadratic function. - + 3 > 0

Determine whether . -y =

Solve the rational inequality. State the solution set using interval notation. -

Solve the problem. -The polynomial measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 11 and 12 seconds?

Find a polynomial equation with real coefficients that has the given roots. -

Equations, Inequalities, and Modeling

Functions and Graphs

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 3: Polynomial and Rational Functions

Use the factor theorem to decide whether or not the second polynomial is a factor of the first. - - 5x + 2; x + 2

Find all real and imaginary solutions. -

Find all of the real and imaginary roots, stating the multiplicity of each. -

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second. -

Determine whether the given number is a zero of the polynomial function. -P(x) = - - 7x - 4; -3

Give the interval where the function increases or decreases, as requested. -f(x) = - 3 increases

Determine whether . -y =

Use the leading coefficient test to determine whether . -y =

Determine whether . -y =

Give the interval where the function increases or decreases, as requested. -f(x) = + 2 decreases

Find the equation that the given graph represents. -

Use the leading coefficient test to determine whether . -y =

Find all of the real and imaginary roots, stating the multiplicity of each. -

State the degree of the polynomial equation. -

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation. --

Solve the quadratic inequality by graphing an appropriate quadratic function. - + 3 > 0

Determine whether . -y =

Solve the rational inequality. State the solution set using interval notation. -

Solve the problem. -The polynomial measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 11 and 12 seconds?

Find a polynomial equation with real coefficients that has the given roots. -

Equations, Inequalities, and Modeling

Functions and Graphs

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters