Question 1

Find all zeros of the function   .

Accepted Answer

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

Question 2

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)    B

Question 3

Write   as a product of linear factors.

Accepted Answer

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

Question 4

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 5

A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Accepted Answer

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

Question 6

Write   as a product of linear factors.

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of   .

Accepted Answer

A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
B) 3 positive reals or 1 positive real; no negative reals 
C) 0 positive real; 3 negative reals or 1 negative real 
D) 1 positive real; 3 negative reals or 1 negative real 
E) no positive reals; no negative reals 
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
B) 3 positive reals or 1 positive real; no negative reals 
C) 0 positive real; 3 negative reals or 1 negative real 
D) 1 positive real; 3 negative reals or 1 negative real 
E) no positive reals; no negative reals

Question 9

Determine the vertex of the graph of the quadratic function   .

Accepted Answer

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

Question 10

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

Accepted Answer

A) - 19 i 
B) - 19 
C) - 190 i 
D) 19 
E) 19 i 
A) - 19 i 
B) - 19 
C) - 190 i 
D) 19 
E) 19 i

Question 11

Do the operation and express the answer in a + bi form. (8 - 7 i) + (9 + 5 i)

Accepted Answer

A) 17 + 2 i 
B) - 17 - 2 i 
C) - 17 + 2 i 
D) 2 - 17 i 
E) 17 - 2 i 
A) 17 + 2 i 
B) - 17 - 2 i 
C) - 17 + 2 i 
D) 2 - 17 i 
E) 17 - 2 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

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 14

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

Accepted Answer

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

Question 15

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 16

Graph the quadratic function. f (x) = - x2 - 3x + 2

Accepted Answer

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

Question 17

Find the vertex of the parabolic graph of the equation. y = 6(x - 7) 2 + 4

Accepted Answer

A) (49, 4) 
B) (7, 6) 
C) (4, 7) 
D) (7, 4) 
E) (7, 0) 
A) (49, 4) 
B) (7, 6) 
C) (4, 7) 
D) (7, 4) 
E) (7, 0)

Question 18

Find the vertex of the parabolic graph of the equation. y = 6(x - 5) 2 + 1

Accepted Answer

A) (25, 1) 
B) (1, 5) 
C) (5, 1) 
D) (5, 0) 
E) (5, 6) 
A) (25, 1) 
B) (1, 5) 
C) (5, 1) 
D) (5, 0) 
E) (5, 6)

Question 19

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of   .

Accepted Answer

A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
B) 3 positive reals or 1 positive real; no negative reals 
C) no positive reals; no negative reals 
D) 3 positive reals or 1 positive real; 1 negative real 
E) 1 positive real; 3 negative reals or 1 negative real 
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
B) 3 positive reals or 1 positive real; no negative reals 
C) no positive reals; no negative reals 
D) 3 positive reals or 1 positive real; 1 negative real 
E) 1 positive real; 3 negative reals or 1 negative real

Question 20

Find the standard form of the quadratic function shown below:

Accepted Answer

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

Find all zeros of the function .

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

Write as a product of linear factors.

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

A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Write as a product of linear factors.

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

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Determine the vertex of the graph of the quadratic function .

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

Do the operation and express the answer in a + bi form. (8 - 7 i) + (9 + 5 i)

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

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

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

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) = - x² - 3x + 2

Find the vertex of the parabolic graph of the equation. y = 6(x - 7)² + 4

Find the vertex of the parabolic graph of the equation. y = 6(x - 5)² + 1

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Find the standard form of the quadratic function shown below:

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

Find all zeros of the function .

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

Write as a product of linear factors.

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

A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Write as a product of linear factors.

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

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Determine the vertex of the graph of the quadratic function .

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

Do the operation and express the answer in a + bi form. (8 - 7 i) + (9 + 5 i)

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

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

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

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) = - x2 - 3x + 2

Find the vertex of the parabolic graph of the equation. y = 6(x - 7) 2 + 4

Find the vertex of the parabolic graph of the equation. y = 6(x - 5) 2 + 1

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Find the standard form of the quadratic function shown below:

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

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

Graph the quadratic function. f (x) = - x² - 3x + 2

Find the vertex of the parabolic graph of the equation. y = 6(x - 7)² + 4

Find the vertex of the parabolic graph of the equation. y = 6(x - 5)² + 1