Question 1

Write the polynomial   as the product of factors that are irreducible over the rationals.

Accepted Answer

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

Question 2

Use the quadratic formula to solve

Accepted Answer

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

Question 3

Plot the complex number below.

Accepted Answer

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

Question 4

Which of the following is the graph of the given equation?

Accepted Answer

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

Question 5

Write the polynomial   in completely factored form.(Hint: One factor is   )

Accepted Answer

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

Question 6

Write   in the form   when

Accepted Answer

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

Question 7

Find all real solutions of the polynomial equation

Accepted Answer

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

Question 8

Simplify   and write the answer in standard form.

Accepted Answer

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

Question 9

Use the zero or root of graphing utility to find the real zeros of the function   and find the exact values of the remaining zeros.

Accepted Answer

A)  Real zeros:   Exact zero:   
B)  Real zeros:   Exact zero:   
C)  Real zeros:   Exact zero:   
D)  Real zeros:   Exact zero:   
E)  Real zeros:   Exact zero:   
A)  Real zeros:   Exact zero:   
B)  Real zeros:   Exact zero:   
C)  Real zeros:   Exact zero:   
D)  Real zeros:   Exact zero:   
E)  Real zeros:   Exact zero:

Question 10

The graph of the function   is shown below.Determine the domain.

Accepted Answer

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

Question 11

Determine the vertical and slant asymptotes of the rational function below.

Accepted Answer

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

Question 12

Use the zero   of   to find all the zeros of f.

Accepted Answer

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

Question 13

Write   as a product of linear factors given that   and   are zeros of the polynomial.

Accepted Answer

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

Question 14

Determine which of the following rational functions has a vertical asymptote of   and no horizontal asymptote. Function I :   Function IV :   Function II :   Function V :   Function III :

Accepted Answer

A)  Function V 
B)  Function II 
C)  Function IV 
D)  Function I 
E)  Function III 
A)  Function V 
B)  Function II 
C)  Function IV 
D)  Function I 
E)  Function III

Question 15

Find the zeros of the polynomial function below.If a zero is a multiple zero, state its multiplicity.

Accepted Answer

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

Question 16

The rational function   models the number of milligrams of medication in the bloodstream of a patient t hours after 450 milligrams of the medication have been injected into the patient's bloodstream. What will M approach as   ?

Accepted Answer

A)  40 mg 
B)  20 mg 
C)  90 mg 
D)  0 mg 
E)  22 mg 
A)  40 mg 
B)  20 mg 
C)  90 mg 
D)  0 mg 
E)  22 mg

Question 17

Use the Rational Zero Test to list possible rational zeros for the polynomial function below.

Accepted Answer

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

Question 18

Find an equation of the parabola below.

Accepted Answer

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

Question 19

Find all the real zeros of

Accepted Answer

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

Question 20

Write the complex number in standard form.

Accepted Answer

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

Write the polynomial as the product of factors that are irreducible over the rationals.

Use the quadratic formula to solve

Plot the complex number below.

Which of the following is the graph of the given equation?

Write the polynomial in completely factored form.(Hint: One factor is )

Write in the form when

Find all real solutions of the polynomial equation

Simplify and write the answer in standard form.

Use the zero or root of graphing utility to find the real zeros of the function and find the exact values of the remaining zeros.

The graph of the function is shown below.Determine the domain.

Determine the vertical and slant asymptotes of the rational function below.

Use the zero of to find all the zeros of f.

Write as a product of linear factors given that and are zeros of the polynomial.

Determine which of the following rational functions has a vertical asymptote of and no horizontal asymptote. Function I : Function IV : Function II : Function V : Function III :

Find the zeros of the polynomial function below.If a zero is a multiple zero, state its multiplicity.

The rational function models the number of milligrams of medication in the bloodstream of a patient t hours after 450 milligrams of the medication have been injected into the patient's bloodstream. What will M approach as ?

Use the Rational Zero Test to list possible rational zeros for the polynomial function below.

Find an equation of the parabola below.

Find all the real zeros of

Write the complex number in standard form.

Fundamental Concepts of Algebra

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Exam 3: Polynomial and Rational Functions

Write the polynomial as the product of factors that are irreducible over the rationals.

Use the quadratic formula to solve

Plot the complex number below.

Which of the following is the graph of the given equation?

Write the polynomial in completely factored form.(Hint: One factor is )

Write in the form when

Find all real solutions of the polynomial equation

Simplify and write the answer in standard form.

Use the zero or root of graphing utility to find the real zeros of the function and find the exact values of the remaining zeros.

The graph of the function is shown below.Determine the domain.

Determine the vertical and slant asymptotes of the rational function below.

Use the zero of to find all the zeros of f.

Write as a product of linear factors given that and are zeros of the polynomial.

Determine which of the following rational functions has a vertical asymptote of and no horizontal asymptote. Function I : Function IV : Function II : Function V : Function III :

Find the zeros of the polynomial function below.If a zero is a multiple zero, state its multiplicity.

The rational function models the number of milligrams of medication in the bloodstream of a patient t hours after 450 milligrams of the medication have been injected into the patient's bloodstream. What will M approach as ?

Use the Rational Zero Test to list possible rational zeros for the polynomial function below.

Find an equation of the parabola below.

Find all the real zeros of

Write the complex number in standard form.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters