Question 1

Find a polynomial with the given zeros.

Accepted Answer

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

Question 2

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

Accepted Answer

A) - 11 + 18 i 
B) 11 + 9 i 
C) - 11 + 9 i 
D) - 11 - 9 i 
E) 11 - 9 i 
A) - 11 + 18 i 
B) 11 + 9 i 
C) - 11 + 9 i 
D) - 11 - 9 i 
E) 11 - 9 i

Question 3

Use synthetic division to divide.

Accepted Answer

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

Question 4

Find a polynomial with the given zeros.

Accepted Answer

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

Question 5

Simplify the expression. i -6

Accepted Answer

A) - 1 
B) - i 
C) - 3i 
D) 1 
E) i 
A) - 1 
B) - i 
C) - 3i 
D) 1 
E) i

Question 6

Find a polynomial with the given zeros.

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

Determine the vertex of the graph of the quadratic function   .

Accepted Answer

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

Question 9

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

Accepted Answer

A) - 15 i 
B) - 3 i 
C) 3 
D) 3 i 
E) - 3 
A) - 15 i 
B) - 3 i 
C) 3 
D) 3 i 
E) - 3

Question 10

Find all the rational zeros of the function   .

Accepted Answer

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

Question 11

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 3) 3 - 1.

Accepted Answer

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

Question 12

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 13

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

Question 14

Graph the function.

Accepted Answer

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

Question 15

Determine the zeros (if any) of the rational function   .

Accepted Answer

A)    
B)    
C)    
D)    
E) no zeros 
A)    
B)    
C)    
D)    
E) no zeros

Question 16

Use synthetic division to divide.

Accepted Answer

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

Question 17

Find the vertex of the parabola. y = x2 - 14x + 49

Accepted Answer

A) (7, 0) 
B) (7, -35) 
C) (0, 7) 
D) (49, 0) 
E) (-35, 0) 
A) (7, 0) 
B) (7, -35) 
C) (0, 7) 
D) (49, 0) 
E) (-35, 0)

Question 18

Write   as a product of linear factors.

Accepted Answer

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

Question 19

Graph the function

Accepted Answer

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

Question 20

Use long division to divide.

Accepted Answer

A)    
B)    
C)    
D)    
E) 4x - 3 
A)    
B)    
C)    
D)    
E) 4x - 3

Find a polynomial with the given zeros.

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

Use synthetic division to divide.

Find a polynomial with the given zeros.

Simplify the expression. i^-6

Find a polynomial with the given zeros.

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

Determine the vertex of the graph of the quadratic function .

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

Find all the rational zeros of the function .

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 3)³ - 1.

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

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

Graph the function.

Determine the zeros (if any) of the rational function .

Use synthetic division to divide.

Find the vertex of the parabola. y = x² - 14x + 49

Write as a product of linear factors.

Graph the function

Use long division to divide.

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 a polynomial with the given zeros.

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

Use synthetic division to divide.

Find a polynomial with the given zeros.

Simplify the expression. i -6

Find a polynomial with the given zeros.

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

Determine the vertex of the graph of the quadratic function .

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

Find all the rational zeros of the 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 - 3) 3 - 1.

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

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

Graph the function.

Determine the zeros (if any) of the rational function .

Use synthetic division to divide.

Find the vertex of the parabola. y = x2 - 14x + 49

Write as a product of linear factors.

Graph the function

Use long division to divide.

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

Simplify the expression. i^-6

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 3)³ - 1.

Find the vertex of the parabola. y = x² - 14x + 49