Question 1

Do the operation and express the answer in a + bi form.

Accepted Answer

A) 16 - 3 i 
B) - 16 + 2 i 
C) - 3 + 2 i 
D) 3 - 2 i 
E) 16 + 2 i 
A) 16 - 3 i 
B) - 16 + 2 i 
C) - 3 + 2 i 
D) 3 - 2 i 
E) 16 + 2 i

Question 2

Find the vertex of the parabola. y = 6x2 - 2

Accepted Answer

A) (-2, 6) 
B) (0, -2) 
C) (6, -2) 
D) (-2, 0) 
E) (0, 6) 
A) (-2, 6) 
B) (0, -2) 
C) (6, -2) 
D) (-2, 0) 
E) (0, 6)

Question 3

Graph the quadratic function.

Accepted Answer

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

Question 4

Determine the vertex of the graph of the quadratic function   .

Accepted Answer

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

Question 5

Let   . Use synthetic division to find the value   .

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 6

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 2) 3.

Accepted Answer

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

Question 7

Graph the function.

Accepted Answer

A)    
B)    
C)    
D)    Chapter 3 
A)    
B)    
C)    
D)    Chapter 3

Question 8

Use synthetic division to express   in the form   for the divisor   .

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 9

Using a graphing utility, graph   and approximate the zeros and their multiplicity.

Accepted Answer

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

Question 10

Find all the real zeros of   .

Accepted Answer

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

Question 11

Do the operation and express the answer in a + bi form.

Accepted Answer

A) - 27 + 3 i 
B) 27 - 3 i 
C) - 3 + 3 i 
D) 3 - 3 i 
E) 27 + 3 i 
A) - 27 + 3 i 
B) 27 - 3 i 
C) - 3 + 3 i 
D) 3 - 3 i 
E) 27 + 3 i

Question 12

If   is a root of   , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

Accepted Answer

A)    ;   
B)    ;   
C)    ;   
D)    ;   
E)    ;   
A)    ;   
B)    ;   
C)    ;   
D)    ;   
E)    ;

Question 13

Graph the quadratic function. f (x) = - 4x2 + 2

Accepted Answer

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

Question 14

Graph the polynomial function.

Accepted Answer

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

Question 15

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 5) 3 - 2.

Accepted Answer

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

Question 16

Find all the real zeros of   .

Accepted Answer

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

Question 17

Find all real zeros of the polynomial   and determine the multiplicity of each.

Accepted Answer

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

Question 18

Using the factors   and   , find the remaining factor(s) of   and write the polynomial in fully factored form.

Accepted Answer

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

Question 19

Tell whether the function   is even or odd. If it is neither, so indicate.

Accepted Answer

A) odd 
B) even 
C) neither 
A) odd 
B) even 
C) neither

Question 20

Find all zeros of the function   .

Accepted Answer

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

Do the operation and express the answer in a + bi form.

Find the vertex of the parabola. y = 6x² - 2

Graph the quadratic function.

Determine the vertex of the graph of the quadratic function .

Let . Use synthetic division to find the value .

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 2)³.

Graph the function.

Use synthetic division to express in the form for the divisor .

Using a graphing utility, graph and approximate the zeros and their multiplicity.

Find all the real zeros of .

Do the operation and express the answer in a + bi form.

If is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

Graph the quadratic function. f (x) = - 4x² + 2

Graph the polynomial function.

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 5)³ - 2.

Find all the real zeros of .

Find all real zeros of the polynomial and determine the multiplicity of each.

Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored form.

Tell whether the function is even or odd. If it is neither, so indicate.

Find all zeros of the function .

Functions and Their Graphs

Solving Equations and Inequalities

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters

Exam 3: Polynomial and Rational Functions

Do the operation and express the answer in a + bi form.

Find the vertex of the parabola. y = 6x2 - 2

Graph the quadratic function.

Determine the vertex of the graph of the quadratic function .

Let . Use synthetic division to find the value .

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 2) 3.

Graph the function.

Use synthetic division to express in the form for the divisor .

Using a graphing utility, graph and approximate the zeros and their multiplicity.

Find all the real zeros of .

Do the operation and express the answer in a + bi form.

If is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

Graph the quadratic function. f (x) = - 4x2 + 2

Graph the polynomial function.

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 5) 3 - 2.

Find all the real zeros of .

Find all real zeros of the polynomial and determine the multiplicity of each.

Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored form.

Tell whether the function is even or odd. If it is neither, so indicate.

Find all zeros of the function .

Functions and Their Graphs

Solving Equations and Inequalities

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters

Find the vertex of the parabola. y = 6x² - 2

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 2)³.

Graph the quadratic function. f (x) = - 4x² + 2

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 5)³ - 2.