Question 1

Find all the rational zeros of the function   .

Accepted Answer

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

Question 2

The sales tax on an item with a retail price of $972 is $77.76. Create a variational model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $92.34.

Accepted Answer

A)  $1156.24 
B)  $1125.88 
C)  $1154.25 
D)  $1166.48 
E)  $1098.56 
A)  $1156.24 
B)  $1125.88 
C)  $1154.25 
D)  $1166.48 
E)  $1098.56

Question 3

Find a mathematical model for the verbal statement: "z varies directly as the square of x and inversely as p."

Accepted Answer

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

Question 4

Determine whether the variation model below is of the form   or   .

Accepted Answer

A)      
B)    
A)      
B)

Question 5

After determining whether the variation model below is of the form   or   , find the value of k.

Accepted Answer

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

Question 6

If   , use synthetic division to evaluate   .

Accepted Answer

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

Question 7

Use synthetic division to divide.

Accepted Answer

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

Question 8

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 9

Simplify the rational expression,   , by using long division or synthetic division.

Accepted Answer

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

Question 10

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 11

Write the quadratic function   in standard form.

Accepted Answer

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

Question 12

Determine whether the variation model below is of the form   or   .

Accepted Answer

A)      
B)    
A)      
B)

Question 13

Simplify the rational expression,   , by using long division or synthetic division.

Accepted Answer

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

Question 14

Use long division to divide.

Accepted Answer

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

Question 15

Compare the graph of   with   .

Accepted Answer

A)    - 8 shifts left 4 units, shifts downward 8 units, and shrinks by a factor of  
) 
B)    - 8 shifts right 4 units, shifts upward 8 units, and shrinks by a factor of  
) 
C)    - 8 shifts left 16 units, shifts upward 8 units, and shrinks by a factor of  
) 
D)    - 8 shifts right 16 units, shifts upward 8 units, and shrinks by a factor of  
) 
E)    - 8 shifts right 4 units, shifts downward 8 units, and shrinks by a factor of  
) 
A)    - 8 shifts left 4 units, shifts downward 8 units, and shrinks by a factor of  
) 
B)    - 8 shifts right 4 units, shifts upward 8 units, and shrinks by a factor of  
) 
C)    - 8 shifts left 16 units, shifts upward 8 units, and shrinks by a factor of  
) 
D)    - 8 shifts right 16 units, shifts upward 8 units, and shrinks by a factor of  
) 
E)    - 8 shifts right 4 units, shifts downward 8 units, and shrinks by a factor of  
)

Question 16

From the graph of the quadratic function   , determine the equation of the axis of symmetry.

Accepted Answer

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

Find all the rational zeros of the function .

The sales tax on an item with a retail price of $972 is $77.76. Create a variational model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $92.34.

Find a mathematical model for the verbal statement: "z varies directly as the square of x and inversely as p."

Determine whether the variation model below is of the form or .

After determining whether the variation model below is of the form or , find the value of k.

If , use synthetic division to evaluate .

Use synthetic division to divide.

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

Simplify the rational expression, , by using long division or synthetic division.

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

Write the quadratic function in standard form.

Determine whether the variation model below is of the form or .

Simplify the rational expression, , by using long division or synthetic division.

Use long division to divide.

Compare the graph of with .

From the graph of the quadratic function , determine the equation of the axis of symmetry.

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Functions and Their Graphs

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters

Exam 4: Polynomial Functions

Find all the rational zeros of the function .

The sales tax on an item with a retail price of $972 is $77.76. Create a variational model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $92.34.

Find a mathematical model for the verbal statement: "z varies directly as the square of x and inversely as p."

Determine whether the variation model below is of the form or .

After determining whether the variation model below is of the form or , find the value of k.

If , use synthetic division to evaluate .

Use synthetic division to divide.

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

Simplify the rational expression, , by using long division or synthetic division.

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

Write the quadratic function in standard form.

Determine whether the variation model below is of the form or .

Simplify the rational expression, , by using long division or synthetic division.

Use long division to divide.

Compare the graph of with .

From the graph of the quadratic function , determine the equation of the axis of symmetry.

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Functions and Their Graphs

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters