Question 1

Determine whether the following is a difference of squares.
-

Accepted Answer

A) True 
 B)False

Question 2

Factor.
-

Accepted Answer

A)  (-x - 6)(x - 4) 
B)  (x - 6)(x - 4) 
C)  (-x - 4)(x - 6) 
D)  (x + 6)(x - 4) 
A)  (-x - 6)(x - 4) 
B)  (x - 6)(x - 4) 
C)  (-x - 4)(x - 6) 
D)  (x + 6)(x - 4)

Question 3

Factor.
-

Accepted Answer

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

Question 4

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-A student is trying to solve the equation (x + 5)(x - 6) = 8. The student has set x + 5 = 8 and x - 6 = 8 and found that two solutions x = 3, x = 14. The student checks his or her results by plugging in his or her solutions into the original equation and finds that they do not work. How would you advise him or her?

Accepted Answer

The equation needs t

Question 5

Factor completely.
-

Accepted Answer

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

Question 6

Factor using the ac-method.
-

Accepted Answer

A)  prime 
B)  (8x + t)(x - 3t) 
C)  (4x - t)(2x + 3t) 
D)  (4x + t)(2x - 3t) 
A)  prime 
B)  (8x + t)(x - 3t) 
C)  (4x - t)(2x + 3t) 
D)  (4x + t)(2x - 3t)

Question 7

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Explain the error in the following:

Accepted Answer

The factorization yi

Question 8

Factor completely.
-

Accepted Answer

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

Question 9

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-In factoring a trinomial in x as (x +a)(x +b), what must be true of a and b, if the coefficient of the last term of thetrinomial is positive?

Accepted Answer

The numbers a and b

Question 10

Factor.
-

Accepted Answer

A)  (x2 + 1)(x - 72) 
B)  x(x + 8)(x - 9) 
C)  Prime 
D)  x(x + 9)(x - 8) 
A)  (x2 + 1)(x - 72) 
B)  x(x + 8)(x - 9) 
C)  Prime 
D)  x(x + 9)(x - 8)

Question 11

Factor.
-

Accepted Answer

A)  (7x - 7y)(x + 4y) 
B)  (x - y)(7x + 21y) 
C)  7(x - y)(x + 4y) 
D)  7(x + y)(x - 4y) 
A)  (7x - 7y)(x + 4y) 
B)  (x - y)(7x + 21y) 
C)  7(x - y)(x + 4y) 
D)  7(x + y)(x - 4y)

Question 12

Factor.
-

Accepted Answer

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

Question 13

Solve the problem.
-The product of two consecutive integers is 5 more than their sum. Find the integers.

Accepted Answer

A)  3, 4 or -2, -1 
B)  -2 and -1 
C)  2, 3 or -2, -1 
D)  3 and 4 
A)  3, 4 or -2, -1 
B)  -2 and -1 
C)  2, 3 or -2, -1 
D)  3 and 4

Determine whether the following is a difference of squares. -

Factor. -

Factor. -

Factor completely. -

Factor using the ac-method. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following:

Factor completely. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -In factoring a trinomial in x as (x +a)(x +b), what must be true of a and b, if the coefficient of the last term of thetrinomial is positive?

Factor. -

Factor. -

Factor. -

Solve the problem. -The product of two consecutive integers is 5 more than their sum. Find the integers.

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

Filters

Exam 6: Polynomials: Factoring

Determine whether the following is a difference of squares. -

Factor. -

Factor. -

Factor completely. -

Factor using the ac-method. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following:

Factor completely. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -In factoring a trinomial in x as (x +a)(x +b), what must be true of a and b, if the coefficient of the last term of thetrinomial is positive?

Factor. -

Factor. -

Factor. -

Solve the problem. -The product of two consecutive integers is 5 more than their sum. Find the integers.

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

Filters