Question 1

Determine the vertex of the graph of the quadratic function   .

Accepted Answer

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

Question 2

Find all the real zeros of   .

Accepted Answer

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

Question 3

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 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

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 6

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 7

Find all the rational zeros of the function   .

Accepted Answer

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

Question 8

Write   in the form   when   .

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Use synthetic division to divide.

Accepted Answer

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

Question 12

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 13

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 14

Graph the function

Accepted Answer

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

Question 15

Graph the given function.

Accepted Answer

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

Question 16

Find all zeros of the function   .

Accepted Answer

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

Question 17

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 18

Use long division to divide.

Accepted Answer

A)    
B)  4x - 1 
C)    
D)    
E)    
A)    
B)  4x - 1 
C)    
D)    
E)

Question 19

Find all zeros of the function   .

Accepted Answer

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

Question 20

Find all the rational zeros of the function   .

Accepted Answer

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

Determine the vertex of the graph of the quadratic function .

Find all the real zeros of .

Find a polynomial with the given zeros.

Find a polynomial with the given zeros.

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

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

Find all the rational zeros of the function .

Write in the form when .

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

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

Use synthetic division to divide.

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

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

Graph the function

Graph the given function.

Find all zeros of the function .

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

Use long division to divide.

Find all zeros of the function .

Find all the rational 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

Prerequisites

Filters

Exam 3: Polynomial and Rational Functions

Determine the vertex of the graph of the quadratic function .

Find all the real zeros of .

Find a polynomial with the given zeros.

Find a polynomial with the given zeros.

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

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

Find all the rational zeros of the function .

Write in the form when .

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

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

Use synthetic division to divide.

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

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

Graph the function

Graph the given function.

Find all zeros of the function .

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

Use long division to divide.

Find all zeros of the function .

Find all the rational 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

Prerequisites

Filters

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