Question 1

Find all of the real and imaginary roots, stating the multiplicity of each.
-

Accepted Answer

A)    with multiplicity 4 
B)  -5 with multiplicity 2-7 with multiplicity 2 
C)  7 with multiplicity 25 with multiplicity 2 
D)    with multiplicity 2   with multiplicity 2 
A)    with multiplicity 4 
B)  -5 with multiplicity 2-7 with multiplicity 2 
C)  7 with multiplicity 25 with multiplicity 2 
D)    with multiplicity 2   with multiplicity 2

Question 2

Solve the rational inequality. State the solution set using interval notation.
-

Accepted Answer

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

Question 3

Solve the problem.
-Which of the pairs of numbers whose sum is 70 has the largest product?

Accepted Answer

A)  35 and 35 
B)  34 and 36 
C)  31 and 39 
D)  25 and 45 
A)  35 and 35 
B)  34 and 36 
C)  31 and 39 
D)  25 and 45

Question 4

Solve the polynomial inequality. State the solution set using interval notation.
-

Accepted Answer

A)    
B)  (-8, 2) 
C)    
D)    
A)    
B)  (-8, 2) 
C)    
D)

Question 5

Find the product.
-(x - 25i)(x + 25i)

Accepted Answer

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

Question 6

Use the rational zero theorem to find all possible rational zeros for the polynomial function.
-P(x) = -   + 18

Accepted Answer

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

Question 7

Use the factor theorem to decide whether or not the second polynomial is a factor of the first.
-  + x + 4; x + 4

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 8

Identify the vertex of the parabola.
-y =   - 126x + 574

Accepted Answer

A)  (7, 9) 
B)  (7, 0) 
C)  (9, 7) 
D)  (9, 0) 
A)  (7, 9) 
B)  (7, 0) 
C)  (9, 7) 
D)  (9, 0)

Question 9

Identify the vertex of the parabola.
-f(x) =

Accepted Answer

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

Question 10

Solve the problem.
-A rectangular piece of cardboard measuring 24 inches by 25 inches is to be made into a box with an open top by cutting equal-size squares from each corner and folding up the sides. Let x represent the length of a side of each
Such square. What is the maximum possible volume of the box? If necessary, round to the nearest hundredth.

Accepted Answer

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

Question 11

Solve the quadratic inequality by graphing an appropriate quadratic function.
-

Accepted Answer

A)  [-2, -1] 
B)    
C)  (-2, -1) 
D)  [1, 2] 
A)  [-2, -1] 
B)    
C)  (-2, -1) 
D)  [1, 2]

Question 12

Tell whether the graph of the function opens up or down.
-P(x) =   - 2

Accepted Answer

A)  up 
B)  down 
A)  up 
B)  down

Question 13

Solve the problem.
-A rectangular piece of cardboard measuring 28 inches by 45 inches is to be made into a box with an open top by cutting equal-size squares from each corner and folding up the flaps. If the side length of each such square is x
Inches, for what value of x will the volume be a maximum? If necessary, round to the nearest hundredth.

Accepted Answer

A)  18.73 in. 
B)  22.8 in. 
C)  37.45 in. 
D)  5.61 in. 
A)  18.73 in. 
B)  22.8 in. 
C)  37.45 in. 
D)  5.61 in.

Question 14

State the domain of the rational function.
-f(x) =

Accepted Answer

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

Question 15

Find the product.
-(x + 2)[x - (1 + 7i)][x - (1 - 7i)]

Accepted Answer

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

Question 16

Find the equation and sketch the graph of the function.
-A rational function that passes through 0, 1 , has the x-axis as a horizontal asymptote, and has the line x = 6 as its only vertical asymptote.

Accepted Answer

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

Question 17

Match the graph of the rational function with its equation.
-

Accepted Answer

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

Question 18

Solve the quadratic inequality by graphing an appropriate quadratic function.
-

Accepted Answer

A)    
B)  [-4, 6] 
C)    
D)    
A)    
B)  [-4, 6] 
C)    
D)

Question 19

Solve the problem.
-Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by   . What is the cost per ton for x = 40?

Accepted Answer

A)  $12.50 
B)  $1562.50 
C)  $1437.50 
D)  $378.79 
A)  $12.50 
B)  $1562.50 
C)  $1437.50 
D)  $378.79

Question 20

Use the leading coefficient test to determine whether   .
-y = -

Accepted Answer

A)    
B)    
A)    
B)

Find all of the real and imaginary roots, stating the multiplicity of each. -

Solve the rational inequality. State the solution set using interval notation. -

Solve the problem. -Which of the pairs of numbers whose sum is 70 has the largest product?

Solve the polynomial inequality. State the solution set using interval notation. -

Find the product. -(x - 25i)(x + 25i)

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = - + 18

Use the factor theorem to decide whether or not the second polynomial is a factor of the first. - + x + 4; x + 4

Identify the vertex of the parabola. -y = - 126x + 574

Identify the vertex of the parabola. -f(x) =

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Tell whether the graph of the function opens up or down. -P(x) = - 2

State the domain of the rational function. -f(x) =

Find the product. -(x + 2)[x - (1 + 7i)][x - (1 - 7i)]

Find the equation and sketch the graph of the function. -A rational function that passes through 0, 1 , has the x-axis as a horizontal asymptote, and has the line x = 6 as its only vertical asymptote.

Match the graph of the rational function with its equation. -

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by . What is the cost per ton for x = 40?

Use the leading coefficient test to determine whether . -y = -

Equations, Inequalities, and Modeling

Functions and Graphs

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 3: Polynomial and Rational Functions

Find all of the real and imaginary roots, stating the multiplicity of each. -

Solve the rational inequality. State the solution set using interval notation. -

Solve the problem. -Which of the pairs of numbers whose sum is 70 has the largest product?

Solve the polynomial inequality. State the solution set using interval notation. -

Find the product. -(x - 25i)(x + 25i)

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = - + 18

Use the factor theorem to decide whether or not the second polynomial is a factor of the first. - + x + 4; x + 4

Identify the vertex of the parabola. -y = - 126x + 574

Identify the vertex of the parabola. -f(x) =

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Tell whether the graph of the function opens up or down. -P(x) = - 2

State the domain of the rational function. -f(x) =

Find the product. -(x + 2)[x - (1 + 7i)][x - (1 - 7i)]

Find the equation and sketch the graph of the function. -A rational function that passes through 0, 1 , has the x-axis as a horizontal asymptote, and has the line x = 6 as its only vertical asymptote.

Match the graph of the rational function with its equation. -

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by . What is the cost per ton for x = 40?

Use the leading coefficient test to determine whether . -y = -

Equations, Inequalities, and Modeling

Functions and Graphs

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters