Question 1

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 2

Graph the quadratic function.

Accepted Answer

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

Question 3

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 4

Graph the function

Accepted Answer

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

Question 5

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 6

Write   as a product of linear factors.

Accepted Answer

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

Question 7

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) 2 + 4

Accepted Answer

A)  (8, 0) 
B)  (64, 4) 
C)  (8, 5) 
D)  (4, 8) 
E)  (8, 4) 
A)  (8, 0) 
B)  (64, 4) 
C)  (8, 5) 
D)  (4, 8) 
E)  (8, 4)

Question 8

Write   as a product of linear factors.

Accepted Answer

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

Question 9

Find all the real zeros of   .

Accepted Answer

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

Question 10

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 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 - 5) 3 - 2.

Accepted Answer

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

Question 12

Use long division to divide.

Accepted Answer

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

Question 13

Graph the quadratic function.

Accepted Answer

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

Question 14

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

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)  - 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 16

Find the vertex of the parabola. y = x2 - 18x + 81

Accepted Answer

A)  (0, 9) 
B)  (81, 0) 
C)  (9, 0) 
D)  (9, -63) 
E)  (-63, 0) 
A)  (0, 9) 
B)  (81, 0) 
C)  (9, 0) 
D)  (9, -63) 
E)  (-63, 0)

Question 17

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 18

Simplify the expression. i -6

Accepted Answer

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

Question 19

Graph the given function.

Accepted Answer

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

Question 20

Graph the polynomial function.

Accepted Answer

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

Let . Use synthetic division to find the value .

Graph the quadratic function.

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

Graph the function

Find a polynomial with the given zeros.

Write as a product of linear factors.

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4

Write as a product of linear factors.

Find all the real zeros of .

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

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.

Use long division to divide.

Graph the quadratic function.

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

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

Find the vertex of the parabola. y = x² - 18x + 81

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.

Simplify the expression. i^-6

Graph the given function.

Graph the polynomial 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

Prerequisites

Filters

Exam 3: Polynomial and Rational Functions

Let . Use synthetic division to find the value .

Graph the quadratic function.

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

Graph the function

Find a polynomial with the given zeros.

Write as a product of linear factors.

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) 2 + 4

Write as a product of linear factors.

Find all the real zeros of .

Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored 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 - 5) 3 - 2.

Use long division to divide.

Graph the quadratic function.

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

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

Find the vertex of the parabola. y = x2 - 18x + 81

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.

Simplify the expression. i -6

Graph the given function.

Graph the polynomial 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

Prerequisites

Filters

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4

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.

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

Find the vertex of the parabola. y = x² - 18x + 81

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.

Simplify the expression. i^-6