Question 1

Factor completely.
-

Accepted Answer

A)  (5x - 4)(x + y) 
B)  (5x + y)(x - 4) 
C)  (5x - y)(x + 4) 
D)  (4x - y)(x + 5) 
A)  (5x - 4)(x + y) 
B)  (5x + y)(x - 4) 
C)  (5x - y)(x + 4) 
D)  (4x - y)(x + 5)

Question 2

Factor completely.
-

Accepted Answer

A)  (x + 20)(x - 20) 
B)    
C)  Prime 
D)    
A)  (x + 20)(x - 20) 
B)    
C)  Prime 
D)

Question 3

Factor completely.
-

Accepted Answer

A)  (u + 4v)(u - 8v) 
B)  (u - 4v)(u + v) 
C)  (u - v)(u + 8v) 
D)  (u - 4v)(u + 8v) 
A)  (u + 4v)(u - 8v) 
B)  (u - 4v)(u + v) 
C)  (u - v)(u + 8v) 
D)  (u - 4v)(u + 8v)

Question 4

Factor using the ac-method.
-

Accepted Answer

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

Question 5

Factor.
-

Accepted Answer

A)  (u - 5v)(u + v) 
B)  (u - v)(u + 9v) 
C)  (u + 5v)(u - 9v) 
D)  (u - 5v)(u + 9v) 
A)  (u - 5v)(u + v) 
B)  (u - v)(u + 9v) 
C)  (u + 5v)(u - 9v) 
D)  (u - 5v)(u + 9v)

Question 6

Determine whether the following is a trinomial square.
-

Accepted Answer

A) True 
 B)False

Question 7

Factor.
-4x(3x - 2) - 3(3x - 2)

Accepted Answer

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

Question 8

Solve the problem.
-The length of a rectangular frame is 3 cm more than the width. The area inside the frame is 154 square cm. Find the width of the frame.

Accepted Answer

A)  11 cm 
B)  14 cm 
C)  12 cm 
D)  17 cm 
A)  11 cm 
B)  14 cm 
C)  12 cm 
D)  17 cm

Question 9

Determine whether the following is a trinomial square.
-

Accepted Answer

A) True 
 B)False

Question 10

Determine whether the following is a trinomial square.
-

Accepted Answer

A) True 
 B)False

Question 11

Factor.
-

Accepted Answer

A)  (u - v)(u + 6v) 
B)  (u - 4v)(u + 6v) 
C)  (u - 4v)(u + v) 
D)  (u + 4v)(u - 6v) 
A)  (u - v)(u + 6v) 
B)  (u - 4v)(u + 6v) 
C)  (u - 4v)(u + v) 
D)  (u + 4v)(u - 6v)

Question 12

Factor.
-

Accepted Answer

A)  No common factor 
B)    
C)    
D)    
A)  No common factor 
B)    
C)    
D)

Question 13

Factor completely.
-

Accepted Answer

A)  (x + 7)(x - 6) 
B)  (x - 7)(x + 7) 
C)  (x + 6)(x - 7) 
D)  (x + 1)(x - 13) 
A)  (x + 7)(x - 6) 
B)  (x - 7)(x + 7) 
C)  (x + 6)(x - 7) 
D)  (x + 1)(x - 13)

Question 14

Find the x-intercepts of the graph of the equation. (The grids are intentionally not included.)
-

Accepted Answer

A)  (9, 0), (-2, 0) 
B)  (9, 0), (1, 0) 
C)  (11, 0) 
D)  (-9, 0), (2, 0) 
A)  (9, 0), (-2, 0) 
B)  (9, 0), (1, 0) 
C)  (11, 0) 
D)  (-9, 0), (2, 0)

Question 15

Solve using the principle of zero products.
-

Accepted Answer

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

Question 16

Factor completely.
-

Accepted Answer

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

Question 17

Factor using the ac-method.
-

Accepted Answer

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

Question 18

Determine whether the following is a trinomial square.
-

Accepted Answer

A) True 
 B)False

Question 19

Factor.
-

Accepted Answer

A)    
B)  No common factor 
C)    
D)    
A)    
B)  No common factor 
C)    
D)

Question 20

Factor using the ac-method.
-

Accepted Answer

A)  prime 
B)  9(3x + 2)(x - 5) 
C)  (27x + 18)(x - 5) 
D)  9(3x - 2)(x + 5) 
A)  prime 
B)  9(3x + 2)(x - 5) 
C)  (27x + 18)(x - 5) 
D)  9(3x - 2)(x + 5)

Factor completely. -

Factor completely. -

Factor completely. -

Factor using the ac-method. -

Factor. -

Determine whether the following is a trinomial square. -

Factor. -4x(3x - 2) - 3(3x - 2)

Solve the problem. -The length of a rectangular frame is 3 cm more than the width. The area inside the frame is 154 square cm. Find the width of the frame.

Determine whether the following is a trinomial square. -

Determine whether the following is a trinomial square. -

Factor. -

Factor. -

Factor completely. -

Find the x-intercepts of the graph of the equation. (The grids are intentionally not included.) -

Solve using the principle of zero products. -

Factor completely. -

Factor using the ac-method. -

Determine whether the following is a trinomial square. -

Factor. -

Factor using the ac-method. -

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

Factor completely. -

Factor completely. -

Factor completely. -

Factor using the ac-method. -

Factor. -

Determine whether the following is a trinomial square. -

Factor. -4x(3x - 2) - 3(3x - 2)

Solve the problem. -The length of a rectangular frame is 3 cm more than the width. The area inside the frame is 154 square cm. Find the width of the frame.

Determine whether the following is a trinomial square. -

Determine whether the following is a trinomial square. -

Factor. -

Factor. -

Factor completely. -

Find the x-intercepts of the graph of the equation. (The grids are intentionally not included.) -

Solve using the principle of zero products. -

Factor completely. -

Factor using the ac-method. -

Determine whether the following is a trinomial square. -

Factor. -

Factor using the ac-method. -

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