Question 1

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

Accepted Answer

A)  x2 + 2x + 4; -5 
B)    - 2x + 4; -8 
C)    + 2x + 4; -8 
D)    - 2x + 4; -5 
A)  x2 + 2x + 4; -5 
B)    - 2x + 4; -8 
C)    + 2x + 4; -8 
D)    - 2x + 4; -5

Question 2

Graph.
-

Accepted Answer

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

Question 3

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.
-

Accepted Answer

A)    , min -1, dec   
B)    
C)    min -1, dec   
D)    , min -1, inc   
A)    , min -1, dec   
B)    
C)    min -1, dec   
D)    , min -1, inc

Question 4

Solve the inequality. State the solution set in interval notation and graph it.
-  + 2x + 1 > 0

Accepted Answer

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

Question 5

Identify the axis of symmetry of the parabola.
-y =   - 60x + 183

Accepted Answer

A)  x = 3 
B)  x = 6 
C)  x = 0 
D)  x = -3 
A)  x = 3 
B)  x = 6 
C)  x = 0 
D)  x = -3

Question 6

Solve the problem.
-The polynomial function   gives the rate of gas leakage from a tank as pressure increases in p units from its initial setting. Will an increase of 3 units result in a lower rate of leakage compared to the initial
Setting?

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

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 9

Identify the axis of symmetry of the parabola.
-f(x) = -   - 4x - 4

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 10

Identify the vertex of the parabola.
-y =   + 12x - 16

Accepted Answer

A)  (-2, -3) 
B)  (3, 2) 
C)  (-3, -2) 
D)  (2, 3) 
A)  (-2, -3) 
B)  (3, 2) 
C)  (-3, -2) 
D)  (2, 3)

Question 11

Find all real and imaginary solutions to the equation.
-

Accepted Answer

A)  {9, 10} 
B)  {3, 4} 
C)  {6, 7} 
D)    
A)  {9, 10} 
B)  {3, 4} 
C)  {6, 7} 
D)

Question 12

Provide an appropriate response.
-What are the possible numbers of real zeros (counting multiplicities) for a polynomial function with real coefficients of degree six?

Accepted Answer

A)  1, 3, or 5 
B)  2, 4, or 6 
C)  6 
D)  0, 2, 4, or 6 
A)  1, 3, or 5 
B)  2, 4, or 6 
C)  6 
D)  0, 2, 4, or 6

Question 13

Find the y-intercepts and any x-intercepts.
-y =   + 8

Accepted Answer

A)  x-intercept (8, 0), no y-intercepts 
B)  y-intercept (8, 0), no x-intercepts 
C)  y-intercept (0, 8), x-intercept (8, 0) 
D)  y-intercept (0, 8), no x-intercepts 
A)  x-intercept (8, 0), no y-intercepts 
B)  y-intercept (8, 0), no x-intercepts 
C)  y-intercept (0, 8), x-intercept (8, 0) 
D)  y-intercept (0, 8), no x-intercepts

Question 14

Solve the inequality. State the solution set in interval notation and graph it.
-

Accepted Answer

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

Question 15

Sketch the graph of the function.
-

Accepted Answer

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

Question 16

Tell whether the graph of the function opens up or down.
-P(x) =   + 2

Accepted Answer

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

Question 17

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

Accepted Answer

A)    
B)  (x - 5)(x + 8)(x + 2) 
C)    
D)  (x + 5)(x - 8)(x - 2) 
A)    
B)  (x - 5)(x + 8)(x + 2) 
C)    
D)  (x + 5)(x - 8)(x - 2)

Question 18

State the degree of the polynomial equation.
-

Accepted Answer

A)  1 
B)  2 
C)  4 
D)  3 
A)  1 
B)  2 
C)  4 
D)  3

Question 19

Tell whether the graph of the function opens up or down.
-P(x) =   + 5

Accepted Answer

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

Question 20

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

Accepted Answer

A)  Symmetric about x = 1 
B)  Symmetric about x = - 1 
C)  None 
D)  Symmetric about y = - 1 
A)  Symmetric about x = 1 
B)  Symmetric about x = - 1 
C)  None 
D)  Symmetric about y = - 1

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

Graph. -

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing. -

Solve the inequality. State the solution set in interval notation and graph it. - + 2x + 1 > 0

Identify the axis of symmetry of the parabola. -y = - 60x + 183

Solve the problem. -The polynomial function gives the rate of gas leakage from a tank as pressure increases in p units from its initial setting. Will an increase of 3 units result in a lower rate of leakage compared to the initial Setting?

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

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

Identify the axis of symmetry of the parabola. -f(x) = - - 4x - 4

Identify the vertex of the parabola. -y = + 12x - 16

Find all real and imaginary solutions to the equation. -

Provide an appropriate response. -What are the possible numbers of real zeros (counting multiplicities) for a polynomial function with real coefficients of degree six?

Find the y-intercepts and any x-intercepts. -y = + 8

Solve the inequality. State the solution set in interval notation and graph it. -

Sketch the graph of the function. -

Tell whether the graph of the function opens up or down. -P(x) = + 2

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

State the degree of the polynomial equation. -

Tell whether the graph of the function opens up or down. -P(x) = + 5

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

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

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Sequences, Series, and Probability

Basic Algebra Review

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Exam 3: Polynomial and Rational Functions

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

Graph. -

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing. -

Solve the inequality. State the solution set in interval notation and graph it. - + 2x + 1 > 0

Identify the axis of symmetry of the parabola. -y = - 60x + 183

Solve the problem. -The polynomial function gives the rate of gas leakage from a tank as pressure increases in p units from its initial setting. Will an increase of 3 units result in a lower rate of leakage compared to the initial Setting?

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

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

Identify the axis of symmetry of the parabola. -f(x) = - - 4x - 4

Identify the vertex of the parabola. -y = + 12x - 16

Find all real and imaginary solutions to the equation. -

Provide an appropriate response. -What are the possible numbers of real zeros (counting multiplicities) for a polynomial function with real coefficients of degree six?

Find the y-intercepts and any x-intercepts. -y = + 8

Solve the inequality. State the solution set in interval notation and graph it. -

Sketch the graph of the function. -

Tell whether the graph of the function opens up or down. -P(x) = + 2

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

State the degree of the polynomial equation. -

Tell whether the graph of the function opens up or down. -P(x) = + 5

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

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