Question 1

Use synthetic division to find     ;

Accepted Answer

A) f ( 3 ) = 135 
B) f ( 3 ) = 3 
C) f ( 3 ) = 48 
D) f ( 3 ) = 138 
E) f ( 3 ) = 153 
A) f ( 3 ) = 135 
B) f ( 3 ) = 3 
C) f ( 3 ) = 48 
D) f ( 3 ) = 138 
E) f ( 3 ) = 153

Question 2

Find all values of   such that

Accepted Answer

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

Question 3

Find a polynomial with leading coefficient of   , degree   , and zeros: -   .

Accepted Answer

A) f ( x ) = x 4  - 33x 2  + 50x + 200 
B) f ( x ) = x 4  - 2x 3  - 33x 2  + 200 
C) f ( x ) = x 4  - 2x 3  - 33x 2  + 33x + 200 
D) f ( x ) = x 4  - 2x 3  - 33x 2  + 50x + 200 
E) f ( x ) = x 4  - 7x 2  - 18x + 40 
A) f ( x ) = x 4  - 33x 2  + 50x + 200 
B) f ( x ) = x 4  - 2x 3  - 33x 2  + 200 
C) f ( x ) = x 4  - 2x 3  - 33x 2  + 33x + 200 
D) f ( x ) = x 4  - 2x 3  - 33x 2  + 50x + 200 
E) f ( x ) = x 4  - 7x 2  - 18x + 40

Question 4

Show that the number is a zero of   of the given multiplicity, and express   as a product of linear factors.

Accepted Answer

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

Question 5

Find an equation of a rational function   that satisfies the conditions. vertical asymptote: x = - 2, x = 0
Horizontal asymptote: y = 0
X-intercept: 3; f (4) = 1

Accepted Answer

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

Question 6

Find all solutions of the equation.

Accepted Answer

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

Question 7

Use synthetic division to decide whether   is a zero of the equation.   ;

Accepted Answer

A) c is not a zero 
B) c is a zero 
A) c is not a zero 
B) c is a zero

Use synthetic division to find ;

Find all values of such that

Find a polynomial with leading coefficient of , degree , and zeros: - .

Show that the number is a zero of of the given multiplicity, and express as a product of linear factors.

Find an equation of a rational function that satisfies the conditions. vertical asymptote: x = - 2, x = 0 Horizontal asymptote: y = 0 X-intercept: 3; f (4) = 1

Find all solutions of the equation.

Use synthetic division to decide whether is a zero of the equation. ;

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

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Exam 4: Polynomial and Rational Functions

Use synthetic division to find ;

Find all values of such that

Find a polynomial with leading coefficient of , degree , and zeros: - .

Show that the number is a zero of of the given multiplicity, and express as a product of linear factors.

Find an equation of a rational function that satisfies the conditions. vertical asymptote: x = - 2, x = 0 Horizontal asymptote: y = 0 X-intercept: 3; f (4) = 1

Find all solutions of the equation.

Use synthetic division to decide whether is a zero of the equation. ;

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters