Question 1

State the solution set to the inequality by reading the graph.
-

Accepted Answer

A)  [0, 3] 
B)    
C)    
D)    
A)  [0, 3] 
B)    
C)    
D)

Question 2

Find all real solutions to the equation.
-  = x + 3

Accepted Answer

A)  {0} 
B)    
C)    
D)    
A)  {0} 
B)    
C)    
D)

Question 3

Identify the axis of symmetry of the parabola.
-y = -   + 6x - 5

Accepted Answer

A)  x = 2 
B)  x = -1 
C)  x = 1 
D)  x = -2 
A)  x = 2 
B)  x = -1 
C)  x = 1 
D)  x = -2

Question 4

Factor the polynomial completely, given that the binomial is a factor.
-

Accepted Answer

A)    
B)  (x + 2)(x + 5)(x + 9) 
C)    
D)    
A)    
B)  (x + 2)(x + 5)(x + 9) 
C)    
D)

Question 5

Solve the problem.
-Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by   . What is the cost per ton for x = 300?

Accepted Answer

A)  $147.06 
B)  $83.33 
C)  $44,117.65 
D)  $150,000.00 
A)  $147.06 
B)  $83.33 
C)  $44,117.65 
D)  $150,000.00

Question 6

Describe the behavior of the function's graph at its x-intercepts.
-f(x) =

Accepted Answer

A)  Crosses at (-1, 0) and (5, 0) 
B)  Does not cross at (-1, 0) or (5, 0) 
C)  Crosses at (1, 0) and (-5, 0) 
D)  Does not cross at (1, 0) or (-5, 0) 
A)  Crosses at (-1, 0) and (5, 0) 
B)  Does not cross at (-1, 0) or (5, 0) 
C)  Crosses at (1, 0) and (-5, 0) 
D)  Does not cross at (1, 0) or (-5, 0)

Question 7

Graph.
-

Accepted Answer

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

Question 8

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the
second.
-  - 2x + 7, x - 3

Accepted Answer

A)  x - 1; -10 
B)  x + 1; 3 
C)  x - 1; -3 
D)  x + 1; 10 
A)  x - 1; -10 
B)  x + 1; 3 
C)  x - 1; -3 
D)  x + 1; 10

Question 9

Find all real and imaginary solutions.
-

Accepted Answer

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

Question 10

Tell whether the graph of the function opens up or down.
-P(x) =   + 1

Accepted Answer

A)  down 
B)  up 
A)  down 
B)  up

Question 11

Discuss the symmetry of the graph of the polynomial function.
-

Accepted Answer

A)  Symmetric about y-axis 
B)  Symmetric about x-axis 
C)  Symmetric about origin 
D)  None 
A)  Symmetric about y-axis 
B)  Symmetric about x-axis 
C)  Symmetric about origin 
D)  None

Question 12

Discuss the symmetry of the graph of the polynomial function.
-f(x) =

Accepted Answer

A)  Symmetric about y-axis 
B)  Symmetric about x-axis 
C)  Symmetric about origin 
D)  None 
A)  Symmetric about y-axis 
B)  Symmetric about x-axis 
C)  Symmetric about origin 
D)  None

Question 13

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second.
-3

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

State the degree of the polynomial equation.
-

Accepted Answer

A)  3 
B)  5 
C)  4 
D)  6 
A)  3 
B)  5 
C)  4 
D)  6

Question 17

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

Accepted Answer

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

Question 18

Identify the vertex of the parabola.
-

Accepted Answer

A)  (0, -2) 
B)  (-2, 0) 
C)  (2, 0) 
D)  (0, 2) 
A)  (0, -2) 
B)  (-2, 0) 
C)  (2, 0) 
D)  (0, 2)

Question 19

Find all of the real and imaginary roots, stating the multiplicity of each.
-4x(x - 4)(x + 9) = 0

Accepted Answer

A)  -9 with multiplicity 14 with multiplicity 1 
B)  -9 with multiplicity 19 with multiplicity 14 with multiplicity 1 
C)  -9 with multiplicity 14 with multiplicity 2 
D)  -9 with multiplicity 10 with multiplicity 14 with multiplicity 1 
A)  -9 with multiplicity 14 with multiplicity 1 
B)  -9 with multiplicity 19 with multiplicity 14 with multiplicity 1 
C)  -9 with multiplicity 14 with multiplicity 2 
D)  -9 with multiplicity 10 with multiplicity 14 with multiplicity 1

Question 20

Find the range of the function.
-f(x) =   - 8x + 24

Accepted Answer

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

State the solution set to the inequality by reading the graph. -

Find all real solutions to the equation. - = x + 3

Identify the axis of symmetry of the parabola. -y = - + 6x - 5

Factor the polynomial completely, given that the binomial is a factor. -

Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by . What is the cost per ton for x = 300?

Describe the behavior of the function's graph at its x-intercepts. -f(x) =

Graph. -

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. - - 2x + 7, x - 3

Find all real and imaginary solutions. -

Tell whether the graph of the function opens up or down. -P(x) = + 1

Discuss the symmetry of the graph of the polynomial function. -

Discuss the symmetry of the graph of the polynomial function. -f(x) =

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second. -3

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

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

State the degree of the polynomial equation. -

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

Identify the vertex of the parabola. -

Find all of the real and imaginary roots, stating the multiplicity of each. -4x(x - 4)(x + 9) = 0

Find the range of the function. -f(x) = - 8x + 24

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

State the solution set to the inequality by reading the graph. -

Find all real solutions to the equation. - = x + 3

Identify the axis of symmetry of the parabola. -y = - + 6x - 5

Factor the polynomial completely, given that the binomial is a factor. -

Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by . What is the cost per ton for x = 300?

Describe the behavior of the function's graph at its x-intercepts. -f(x) =

Graph. -

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. - - 2x + 7, x - 3

Find all real and imaginary solutions. -

Tell whether the graph of the function opens up or down. -P(x) = + 1

Discuss the symmetry of the graph of the polynomial function. -

Discuss the symmetry of the graph of the polynomial function. -f(x) =

Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second. -3

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

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

State the degree of the polynomial equation. -

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

Identify the vertex of the parabola. -

Find all of the real and imaginary roots, stating the multiplicity of each. -4x(x - 4)(x + 9) = 0

Find the range of the function. -f(x) = - 8x + 24

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