Question 1

Determine whether the following is a trinomial square.
-

Accepted Answer

A) True 
 B)False

Question 2

Factor by grouping.
-

Accepted Answer

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

Question 3

Factor.
-

Accepted Answer

A)  (x - 12)(x + 1) 
B)  (x - 12)(x + 8) 
C)  Prime 
D)  (x + 12)(x - 8) 
A)  (x - 12)(x + 1) 
B)  (x - 12)(x + 8) 
C)  Prime 
D)  (x + 12)(x - 8)

Question 4

Factor.
-  + 0.8t + 0.12

Accepted Answer

A)  Prime 
B)  (t + 0.2)(t + 0.6) 
C)    
D)  (t + 0.8)(t + 0.12) 
A)  Prime 
B)  (t + 0.2)(t + 0.6) 
C)    
D)  (t + 0.8)(t + 0.12)

Question 5

Solve using the principle of zero products.
-(x - 6)(x + 2) = 0

Accepted Answer

A)  6, 2 
B)  6, -6, 2, -2 
C)  -6, 2 
D)  6, -2 
A)  6, 2 
B)  6, -6, 2, -2 
C)  -6, 2 
D)  6, -2

Question 6

Factor.
-  - 52x - 40

Accepted Answer

A)  4(3x + 2)(x - 5) 
B)  (12x + 8)(x - 5) 
C)  4(3x - 2)(x + 5) 
D)  (3x + 2)(4x - 20) 
A)  4(3x + 2)(x - 5) 
B)  (12x + 8)(x - 5) 
C)  4(3x - 2)(x + 5) 
D)  (3x + 2)(4x - 20)

Question 7

Factor.
-  + 27y - 15

Accepted Answer

A)  3(2y + 1)(y - 5) 
B)  3(2y - 1)(y + 5) 
C)  (2y - 1)(3y + 15) 
D)  (6y - 3)(y + 5) 
A)  3(2y + 1)(y - 5) 
B)  3(2y - 1)(y + 5) 
C)  (2y - 1)(3y + 15) 
D)  (6y - 3)(y + 5)

Question 8

Factor.
-t(2 - m) + s(2 - m)

Accepted Answer

A)  No common factor 
B)  (t - s)(2 - m) 
C)  t(2 - m) + s 
D)  (t + s)(2 - m) 
A)  No common factor 
B)  (t - s)(2 - m) 
C)  t(2 - m) + s 
D)  (t + s)(2 - m)

Question 9

Factor.
-

Accepted Answer

A)  (12x + y)(x + 12y) 
B)  (3x - 4y)(4x - 3y) 
C)  (3x + 4y)(4x + 3y) 
D)  (12x + 4y)(x + 3y) 
A)  (12x + y)(x + 12y) 
B)  (3x - 4y)(4x - 3y) 
C)  (3x + 4y)(4x + 3y) 
D)  (12x + 4y)(x + 3y)

Question 10

Solve by factoring and using the principle of zero products.
-  + 30b - 3 = -11

Accepted Answer

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

Question 11

Factor.
-

Accepted Answer

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

Question 12

Factor completely.
-(m + n)(x + 3) + (m + n)(y + 4)

Accepted Answer

A)  (m + n)(2x + 7) 
B)  (m + n)(x + y + 7) 
C)  (m + n + 7)(x + y) 
D)  (m + n + 3)(x + y + 4) 
A)  (m + n)(2x + 7) 
B)  (m + n)(x + y + 7) 
C)  (m + n + 7)(x + y) 
D)  (m + n + 3)(x + y + 4)

Question 13

Factor.
-

Accepted Answer

A)  (x + 1)(x - 30) 
B)  (x + 5)(x - 6) 
C)  (x + 6)(x - 5) 
D)  Prime 
A)  (x + 1)(x - 30) 
B)  (x + 5)(x - 6) 
C)  (x + 6)(x - 5) 
D)  Prime

Question 14

Factor.
-

Accepted Answer

A)  (x + 7)(x - 9) 
B)  (x - 63)(x + 1) 
C)  Prime 
D)  (x - 7)(x + 9) 
A)  (x + 7)(x - 9) 
B)  (x - 63)(x + 1) 
C)  Prime 
D)  (x - 7)(x + 9)

Question 15

Factor.
-

Accepted Answer

A)  (x + 15y)(x - 8y) 
B)  (x - y)(x + 8y) 
C)  (x - 15y)(x + y) 
D)  (x - 15y)(x + 8y) 
A)  (x + 15y)(x - 8y) 
B)  (x - y)(x + 8y) 
C)  (x - 15y)(x + y) 
D)  (x - 15y)(x + 8y)

Question 16

Factor.
-

Accepted Answer

A)  x(10x + 1)(x + 6) 
B)    
C)  x(2x + 3)(5x + 2) 
D)  x(2x - 3)(5x - 2) 
A)  x(10x + 1)(x + 6) 
B)    
C)  x(2x + 3)(5x + 2) 
D)  x(2x - 3)(5x - 2)

Question 17

Factor.
-  - 1.2x + 0.35

Accepted Answer

A)  (x - 0.7)(x - 0.5) 
B)  (x - 0.7)(x + 0.5) 
C)    
D)  (x + 0.7)(x - 0.5) 
A)  (x - 0.7)(x - 0.5) 
B)  (x - 0.7)(x + 0.5) 
C)    
D)  (x + 0.7)(x - 0.5)

Question 18

Determine whether the following is a difference of squares.
-

Accepted Answer

A) True 
 B)False

Question 19

Factor.
-

Accepted Answer

A)  (x - 6)(x + 1) 
B)  Prime 
C)  (x - 6)(x + 12) 
D)  (x + 6)(x - 12) 
A)  (x - 6)(x + 1) 
B)  Prime 
C)  (x - 6)(x + 12) 
D)  (x + 6)(x - 12)

Question 20

Factor completely.
-

Accepted Answer

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

Determine whether the following is a trinomial square. -

Factor by grouping. -

Factor. -

Factor. - + 0.8t + 0.12

Solve using the principle of zero products. -(x - 6)(x + 2) = 0

Factor. - - 52x - 40

Factor. - + 27y - 15

Factor. -t(2 - m) + s(2 - m)

Factor. -

Solve by factoring and using the principle of zero products. - + 30b - 3 = -11

Factor. -

Factor completely. -(m + n)(x + 3) + (m + n)(y + 4)

Factor. -

Factor. -

Factor. -

Factor. -

Factor. - - 1.2x + 0.35

Determine whether the following is a difference of squares. -

Factor. -

Factor completely. -

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

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Exam 6: Polynomials: Factoring

Determine whether the following is a trinomial square. -

Factor by grouping. -

Factor. -

Factor. - + 0.8t + 0.12

Solve using the principle of zero products. -(x - 6)(x + 2) = 0

Factor. - - 52x - 40

Factor. - + 27y - 15

Factor. -t(2 - m) + s(2 - m)

Factor. -

Solve by factoring and using the principle of zero products. - + 30b - 3 = -11

Factor. -

Factor completely. -(m + n)(x + 3) + (m + n)(y + 4)

Factor. -

Factor. -

Factor. -

Factor. -

Factor. - - 1.2x + 0.35

Determine whether the following is a difference of squares. -

Factor. -

Factor completely. -

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