Question 1

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 2

Simplify the expression. i -2

Accepted Answer

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

Question 3

Find all real zeros of the polynomial   and determine the multiplicity of each.

Accepted Answer

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

Question 4

Graph the given function.

Accepted Answer

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

Question 5

Find the standard form of the quadratic function shown below:

Accepted Answer

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

Question 6

Use synthetic division to divide.

Accepted Answer

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

Question 7

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

Accepted Answer

A) - 100 i 
B) 10 i 
C) - 10 i 
D) 10 
E) - 10 
A) - 100 i 
B) 10 i 
C) - 10 i 
D) 10 
E) - 10

Question 8

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 9

Write   in the form   when   .

Accepted Answer

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

Question 10

Graph the quadratic function. f (x) = - 3x2 + 2

Accepted Answer

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

Question 11

Do the operation and express the answer in a + bi form. (9 - 10 i) + (2 + 3 i)

Accepted Answer

A) 11 - 7 i 
B) 11 + 7 i 
C) - 11 + 7 i 
D) 7 - 11 i 
E) - 11 - 7 i 
A) 11 - 7 i 
B) 11 + 7 i 
C) - 11 + 7 i 
D) 7 - 11 i 
E) - 11 - 7 i

Question 12

Write   as a product of linear factors.

Accepted Answer

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

Question 13

Find all zeros of the function   .

Accepted Answer

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

Question 14

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of   .

Accepted Answer

A) 3 positive reals or 1 positive real; no negative reals 
B) no positive reals; no negative reals 
C) 1 positive real; 3 negative reals or 1 negative real 
D) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
E) 0 positive real; 3 negative reals or 1 negative real 
A) 3 positive reals or 1 positive real; no negative reals 
B) no positive reals; no negative reals 
C) 1 positive real; 3 negative reals or 1 negative real 
D) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
E) 0 positive real; 3 negative reals or 1 negative real

Question 15

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

Accepted Answer

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

Question 16

Use long division to divide.

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Find all real zeros of the polynomial   and determine the multiplicity of each.

Accepted Answer

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

Question 19

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 20

Graph the quadratic function. f (x) = - x2 - 3x + 2

Accepted Answer

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

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

Simplify the expression. i^-2

Find all real zeros of the polynomial and determine the multiplicity of each.

Graph the given function.

Find the standard form of the quadratic function shown below:

Use synthetic division to divide.

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

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

Write in the form when .

Graph the quadratic function. f (x) = - 3x² + 2

Do the operation and express the answer in a + bi form. (9 - 10 i) + (2 + 3 i)

Write as a product of linear factors.

Find all zeros of the function .

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

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

Use long division to divide.

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

Find all real zeros of the polynomial and determine the multiplicity of each.

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

Graph the quadratic function. f (x) = - x² - 3x + 2

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

Algebraic Expressions and Equations

Filters

Exam 3: Polynomial and Rational Functions

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

Simplify the expression. i -2

Find all real zeros of the polynomial and determine the multiplicity of each.

Graph the given function.

Find the standard form of the quadratic function shown below:

Use synthetic division to divide.

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

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

Write in the form when .

Graph the quadratic function. f (x) = - 3x2 + 2

Do the operation and express the answer in a + bi form. (9 - 10 i) + (2 + 3 i)

Write as a product of linear factors.

Find all zeros of the function .

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

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

Use long division to divide.

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

Find all real zeros of the polynomial and determine the multiplicity of each.

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

Graph the quadratic function. f (x) = - x2 - 3x + 2

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

Algebraic Expressions and Equations

Filters

Simplify the expression. i^-2

Graph the quadratic function. f (x) = - 3x² + 2

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

Graph the quadratic function. f (x) = - x² - 3x + 2