Question 1

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)    E

Question 2

Use synthetic division to perform the division.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these D

Question 3

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

Accepted Answer

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

Question 4

Use long division to divide.

Accepted Answer

A)    
B)    
C)    
D)    
E)  -x + 2 
A)    
B)    
C)    
D)    
E)  -x + 2

Question 5

Find all the real zeros of   .

Accepted Answer

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

Question 6

Use synthetic division to perform the division.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 7

Find all the real zeros of   .

Accepted Answer

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

Question 8

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 9

Graph the function

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

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

Accepted Answer

A)  - 27 + 3 i 
B)  27 - 3 i 
C)  - 3 + 3 i 
D)  3 - 3 i 
E)  27 + 3 i 
A)  - 27 + 3 i 
B)  27 - 3 i 
C)  - 3 + 3 i 
D)  3 - 3 i 
E)  27 + 3 i

Question 12

An open box is to be made from a square piece of cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

Accepted Answer

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

Question 13

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 14

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

Accepted Answer

A)  16 + 11 i 
B)  - 2 + 11 i 
C)  16 - 2 i 
D)  2 - 11 i 
E)  - 16 + 11 i 
A)  16 + 11 i 
B)  - 2 + 11 i 
C)  16 - 2 i 
D)  2 - 11 i 
E)  - 16 + 11 i

Question 15

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 16

Find the vertex of the parabolic graph of the equation. y = 6(x - 7) 2 + 4

Accepted Answer

A)  (49, 4) 
B)  (7, 6) 
C)  (4, 7) 
D)  (7, 4) 
E)  (7, 0) 
A)  (49, 4) 
B)  (7, 6) 
C)  (4, 7) 
D)  (7, 4) 
E)  (7, 0)

Question 17

A farmer has 336 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Accepted Answer

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

Question 18

Find the vertex of the parabola. y = 6x2 - 2

Accepted Answer

A)  (-2, 6) 
B)  (0, -2) 
C)  (6, -2) 
D)  (-2, 0) 
E)  (0, 6) 
A)  (-2, 6) 
B)  (0, -2) 
C)  (6, -2) 
D)  (-2, 0) 
E)  (0, 6)

Question 19

Use synthetic division to perform the division.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 20

Find the vertex of the parabolic graph of the equation. y = 6(x - 5) 2 + 1

Accepted Answer

A)  (25, 1) 
B)  (1, 5) 
C)  (5, 1) 
D)  (5, 0) 
E)  (5, 6) 
A)  (25, 1) 
B)  (1, 5) 
C)  (5, 1) 
D)  (5, 0) 
E)  (5, 6)

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

Use synthetic division to perform the division.

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

Use long division to divide.

Find all the real zeros of .

Use synthetic division to perform the division.

Find all the real zeros of .

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

Graph the function

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

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

An open box is to be made from a square piece of cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

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.

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

Find the vertex of the parabolic graph of the equation. y = 6(x - 7)² + 4

A farmer has 336 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Find the vertex of the parabola. y = 6x² - 2

Use synthetic division to perform the division.

Find the vertex of the parabolic graph of the equation. y = 6(x - 5)² + 1

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

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

Use synthetic division to perform the division.

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

Use long division to divide.

Find all the real zeros of .

Use synthetic division to perform the division.

Find all the real zeros of .

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

Graph the function

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

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

An open box is to be made from a square piece of cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

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.

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

Find the vertex of the parabolic graph of the equation. y = 6(x - 7) 2 + 4

A farmer has 336 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Find the vertex of the parabola. y = 6x2 - 2

Use synthetic division to perform the division.

Find the vertex of the parabolic graph of the equation. y = 6(x - 5) 2 + 1

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) = - x² - 4x + 4

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

Find the vertex of the parabolic graph of the equation. y = 6(x - 7)² + 4

Find the vertex of the parabola. y = 6x² - 2

Find the vertex of the parabolic graph of the equation. y = 6(x - 5)² + 1