Question 1

Find all the real zeros of   .

Accepted Answer

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

Question 2

A farmer has 240 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 3

Write   as a product of linear factors.

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Find a polynomial with the given zeros.

Accepted Answer

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

Question 6

Graph the quadratic function.

Accepted Answer

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

Question 7

Graph the polynomial function.

Accepted Answer

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

Question 8

Find all zeros of the function   .

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

Find a polynomial with the given zeros.

Accepted Answer

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

Question 11

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 12

A farmer has 240 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 13

An open box is to be made from a square piece of cardboard, 35 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 14

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

Accepted Answer

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

Question 15

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 16

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

Accepted Answer

A)  - 19 i 
B)  - 19 
C)  - 190 i 
D)  19 
E)  19 i 
A)  - 19 i 
B)  - 19 
C)  - 190 i 
D)  19 
E)  19 i

Question 17

Graph the function.

Accepted Answer

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

Question 18

Find the vertex of the parabola. y = 9x2 - 10

Accepted Answer

A)  (0, -10) 
B)  (0, 9) 
C)  (9, -10) 
D)  (-10, 0) 
E)  (-10, 9) 
A)  (0, -10) 
B)  (0, 9) 
C)  (9, -10) 
D)  (-10, 0) 
E)  (-10, 9)

Question 19

Graph the function.

Accepted Answer

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

Question 20

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)

Find all the real zeros of .

A farmer has 240 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.

Write as a product of linear factors.

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

Find a polynomial with the given zeros.

Graph the quadratic function.

Graph the polynomial function.

Find all zeros of the function .

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

Find a polynomial with the given zeros.

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

A farmer has 240 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.

An open box is to be made from a square piece of cardboard, 35 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.

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

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

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

Graph the function.

Find the vertex of the parabola. y = 9x² - 10

Graph the function.

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

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 the real zeros of .

A farmer has 240 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.

Write as a product of linear factors.

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

Find a polynomial with the given zeros.

Graph the quadratic function.

Graph the polynomial function.

Find all zeros of the function .

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

Find a polynomial with the given zeros.

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

A farmer has 240 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.

An open box is to be made from a square piece of cardboard, 35 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.

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

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

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

Graph the function.

Find the vertex of the parabola. y = 9x2 - 10

Graph the function.

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

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 + 2x

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

Find the vertex of the parabola. y = 9x² - 10