Question 1

Write   as a product of linear factors.

Accepted Answer

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

Question 2

Find the standard form of the quadratic function shown below:

Accepted Answer

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

Question 3

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 4

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 5

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 6

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 7

Find the vertex of the parabola. y = x2 - 6x + 9

Accepted Answer

A)  (-3, 0) 
B)  (3, 0) 
C)  (0, 3) 
D)  (9, 0) 
E)  (3, -3) 
A)  (-3, 0) 
B)  (3, 0) 
C)  (0, 3) 
D)  (9, 0) 
E)  (3, -3)

Question 8

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

Accepted Answer

A)  3 - 13 i 
B)  - 13 + 3 i 
C)  13 + 3 i 
D)  - 13 - 3 i 
E)  13 - 3 i 
A)  3 - 13 i 
B)  - 13 + 3 i 
C)  13 + 3 i 
D)  - 13 - 3 i 
E)  13 - 3 i

Question 9

Write the standard form of the equation of the parabola that has a vertex at   and passes through the point   .

Accepted Answer

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

Question 10

Write   as a product of linear factors.

Accepted Answer

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

Question 11

Find the standard form of the quadratic function shown below:

Accepted Answer

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

Question 12

Use synthetic division to divide.

Accepted Answer

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

Question 13

Find all zeros of the function   .

Accepted Answer

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

Question 14

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 15

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

Accepted Answer

A)  - 13 - 11 i 
B)  - 13 + 11 i 
C)  13 + 11 i 
D)  - 13 + 22 i 
E)  13 - 11 i 
A)  - 13 - 11 i 
B)  - 13 + 11 i 
C)  13 + 11 i 
D)  - 13 + 22 i 
E)  13 - 11 i

Question 16

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 17

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 18

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

Accepted Answer

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

Question 19

Use synthetic division to divide.

Accepted Answer

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

Question 20

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

Accepted Answer

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

Write as a product of linear factors.

Find the standard form of the quadratic function shown below:

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

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

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

Let . Use synthetic division to find the value .

Find the vertex of the parabola. y = x² - 6x + 9

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

Write the standard form of the equation of the parabola that has a vertex at and passes through the point .

Write as a product of linear factors.

Find the standard form of the quadratic function shown below:

Use synthetic division to divide.

Find all 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.

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

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.

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

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

Use synthetic division to divide.

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

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

Prerequisites

Filters

Exam 3: Polynomial and Rational Functions

Write as a product of linear factors.

Find the standard form of the quadratic function shown below:

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

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

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

Let . Use synthetic division to find the value .

Find the vertex of the parabola. y = x2 - 6x + 9

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

Write the standard form of the equation of the parabola that has a vertex at and passes through the point .

Write as a product of linear factors.

Find the standard form of the quadratic function shown below:

Use synthetic division to divide.

Find all 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.

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

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.

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

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

Use synthetic division to divide.

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

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

Prerequisites

Filters

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

Find the vertex of the parabola. y = x² - 6x + 9

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.

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.

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