3.3.3
DESCRIPTION
Answer KeyTRANSCRIPT
Quiz: Factoring a Difference of Squares
Question 1a of 15 ( 3 Factoring a Difference of Squares 144995 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 9)(x - 9), (x-9)(x+9)
Question: Factor the expression given below.
x2 - 81
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 9)(x - 9).
Question 1b of 15 ( 3 Factoring a Difference of Squares 244535 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 8)(x - 8), (x-8)(x+8)
Question: Factor the expression given below.
x2 - 64
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 8)(x - 8).
Question 1c of 15 ( 3 Factoring a Difference of Squares 244536 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 7)(x - 7), (x-7)(x+7)
Question: Factor the expression given below.
x2 - 49
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 7)(x - 7).
Question 2a of 15 ( 3 Factoring a Difference of Squares 144996 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 11)(x - 11), (x-11)(x+11)
Question: Factor the expression given below.
x2 - 121
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 11)(x - 11).
Question 2b of 15 ( 3 Factoring a Difference of Squares 244537 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 12)(x - 12), (x-12)(x+12)
Question: Factor the expression given below.
x2 - 144
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 12)(x - 12).
Question 2c of 15 ( 3 Factoring a Difference of Squares 244538 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 13)(x - 13), (x-13)(x+13)
Question: Factor the expression given below.
x2 - 169
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 13)(x - 13).
Question 3a of 15 ( 3 Factoring a Difference of Squares 144997 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (3x + 2)(3x - 2), (3x-2)(3x+2)
Question: Factor the expression given below.
9x2 - 4
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (3x + 2)(3x - 2).
Question 3b of 15 ( 3 Factoring a Difference of Squares 244539 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (2x + 2)(2x - 2), (2x - 2)(2x + 2)
Question: Factor the expression given below.
4x2 - 4
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (2x + 2)(2x - 2).
Question 3c of 15 ( 3 Factoring a Difference of Squares 244540 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (3x + 4)(3x - 4), (3x-4)(3x+4)
Question: Factor the expression given below.
9x2 - 16
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (3x + 4)(3x - 4).
Question 4a of 15 ( 3 Factoring a Difference of Squares 144998 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (6x + 5)(6x - 5), (6x-5)(6x+5)
Question: Factor the expression given below.
36x2 - 25
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (6x + 5)(6x - 5).
Question 4b of 15 ( 3 Factoring a Difference of Squares 244541 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (5x + 6)(5x - 6), (5x-6)(5x+6)
Question: Factor the expression given below.
25x2 - 36
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (5x + 6)(5x - 6).
Question 4c of 15 ( 3 Factoring a Difference of Squares 244542 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (4x + 7)(4x - 7), (4x-7)(4x+7)
Question: Factor the expression given below.
16x2 - 49
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (4x + 7)(4x - 7).
Question 5a of 15 ( 3 Factoring a Difference of Squares 144999 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (2x + 3y)(2x - 3y), (2x-3y)(2x+3y)
Question: Factor the expression given below.
4x2 - 9y2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (2x + 3y)(2x - 3y).
Question 5b of 15 ( 3 Factoring a Difference of Squares 244543 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (3x + 2y)(3x - 2y), (3x-2y)(3x+2y)
Question: Factor the expression given below.
9x2 - 4y2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (3x + 2y)(3x - 2y).
Question 5c of 15 ( 3 Factoring a Difference of Squares 244544 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (4x + 5y)(4x - 5y), (4x-5y)(4x+5y)
Question: Factor the expression given below.
16x2 - 25y2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (4x + 5y)(4x - 5y).
Question 6a of 15 ( 3 Factoring a Difference of Squares 145000 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (10A + 7B)(10A - 7B), (10A-7B)(10A+7B)
Question: Factor the expression given below.
100A2 - 49B2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (10A + 7B)(10A - 7B).
Question 6b of 15 ( 3 Factoring a Difference of Squares 244545 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (11A + 8B)(11A - 8B), (11A-8B)(11A+8B)
Question: Factor the expression given below.
121A2 - 64B2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (11A + 8B)(11A - 8B).
Question 6c of 15 ( 3 Factoring a Difference of Squares 244546 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (12A + 9B)(12A - 9B), (12A-9B)(12A+9B)
Question: Factor the expression given below.
144A2 - 81B2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (12A + 9B)(12A - 9B).
Question 7a of 15 ( 3 Factoring a Difference of Squares 145001 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (5x + 2yz)(5x - 2yz), (5x-2yz)(5x+2yz)
Question: Factor the expression given below.
25x2 - 4y2z2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (5x + 2yz)(5x - 2yz).
Question 7b of 15 ( 3 Factoring a Difference of Squares 244547 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (5x + 3yz)(5x - 3yz), (5x-3yz)(5x+3yz)
Question: Factor the expression given below.
25x2 - 9y2z2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (5x + 3yz)(5x - 3xy).
Question 7c of 15 ( 3 Factoring a Difference of Squares 244548 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (2x + 5yz)(2x - 5yz), (2x-5yz)(2x+5yz)
Question: Factor the expression given below.
4x2 - 25y2z2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (2x + 5yz)(2x - 5xy).
Question 8a of 15 ( 3 Factoring a Difference of Squares 145002 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (4AB^2 + 3CD)(4AB^2 - 3CD), (4AB^2-3CD)(4AB^2+3CD)
Question: Factor the expression given below. Enter exponents using the caret (^). For example, you would enter x2 as
x^2. 16A2B4 - 9C2D2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (4AB2 + 3CD)(4AB2 - 3CD).
Question 8b of 15 ( 3 Factoring a Difference of Squares 244549 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (3CD^2 + 4EF)(3CD^2 - 4EF), (3CD^2-4EF)(3CD^2+4EF)
Question: Factor the expression given below. Enter exponents using the caret (^). For example, you would enter x2 as x^2. 9C2D4 - 16E2F2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (3CD2 + 4EF)(3CD2 - 4EF).
Question 8c of 15 ( 3 Factoring a Difference of Squares 244550 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (5AB^2 + 4CD)(5AB^2 - 4CD), (5AB^2-4CD)(5AB^2+4CD)
Question: Factor the expression given below. Enter exponents using the caret (^). For example, you would enter x2 as x^2.
25A2B4 - 16C2D2
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (5AB2 + 4CD)(5AB2 -
4CD).
Question 9a of 15 ( 1 Factoring a Difference of Squares 145003 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: both, all, two, 2
Question: In a difference of squares problem, _____ terms must be perfect squares.
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: both.
Question 9b of 15 ( 1 Factoring a Difference of Squares 244551 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: perfect
Question: In a difference of squares problem, both terms must be _____ squares.
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: perfect.
Question 9c of 15 ( 1 Factoring a Difference of Squares 244552 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: squares, square
Question: In a difference of squares problem, both terms must be perfect _____.
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: squares.
Question 10a of 15 ( 3 Factoring a Difference of Squares 145004 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (A + B)(A - B), (A-B)(A+B)
Question: In general, how would you factor the polynomial A2 - B2?
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (A + B)(A - B).
Question 10b of 15 ( 3 Factoring a Difference of Squares 244553 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (C + D)(C - D), (C - D)(C + D)
Question: In general, how would you factor the polynomial C2 - D2?
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (C + D)(C - D).
Question 10c of 15 ( 3 Factoring a Difference of Squares 244554 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (F + G)(F - G), (F-G)(F+G)
Question: In general, how would you factor the polynomial F2 - G2?
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (F + G)(F - G).
Question 11a of 15 ( 3 Factoring a Difference of Squares 145005 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 1)(x - 1), (x-1)(x+1)
Question: Factor the expression given below.
x2 - 1
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 1)(x - 1).
Question 11b of 15 ( 3 Factoring a Difference of Squares 244555 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 1)(x - 1), (x-1)(x+1)
Question: Factor the expression given below.
x2 - 1
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 1)(x - 1).
Question 11c of 15 ( 3 Factoring a Difference of Squares 244556 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: (x + 1)(x - 1), (x-1)(x+1)
Question: Factor the expression given below.
x2 - 1
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: (x + 1)(x - 1).
Question 12a of 15 ( 2 Factoring a Difference of Squares 154121 )
Maximum Attempts: 1
Question Type: True-False
Maximum Score: 2
Question: The following polynomial can be factored using the techniques of this section.
x2 + 16
Choice Feedback
A. True
*B. False Correct!
Global Incorrect Feedback
The correct answer is: False.
Question 12b of 15 ( 2 Factoring a Difference of Squares 244557 )
Maximum Attempts: 1
Question Type: True-False
Maximum Score: 2
Question: The following polynomial can be factored using the techniques of this section.
Choice Feedback
A. True
*B. False Correct!
Global Incorrect Feedback
The correct answer is: False.
Question 12c of 15 ( 2 Factoring a Difference of Squares 244558 )
Maximum Attempts: 1
Question Type: True-False
Maximum Score: 2
Question: The following polynomial can be factored using the techniques of this section.
Choice Feedback
*A. True Correct!
B. False
Global Incorrect Feedback
The correct answer is: True.
Question 13a of 15 ( 3 Factoring a Difference of Squares 145007 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 0, zero
Question: In the polynomial below, what number should replace the "?" to produce a difference of squares?
x2 + ?x - 25
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 0.
Question 13b of 15 ( 3 Factoring a Difference of Squares 244559 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 0, zero
Question: In the polynomial below, what number should replace the "?" to produce a difference of squares?
x2 + ?x - 36
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 0.
Question 13c of 15 ( 3 Factoring a Difference of Squares 244560 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 0, zero
Question: In the polynomial below, what number should replace the "?" to produce a difference of squares?
x2 + ?x - 49
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 0.
Question 14a of 15 ( 3 Factoring a Difference of Squares 145008 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 4x^2 - 9
Question: Multiply the two binomials below to produce a difference of squares. Enter exponents using the caret (^). For example, you would enter 2 as x^2.
(2x + 3)(2x - 3)
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 4x2 - 9.
Question 14b of 15 ( 3 Factoring a Difference of Squares 244561 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 9x^2 - 16
Question: Multiply the two binomials below to produce a difference of squares. Enter exponents using the caret (^). For example, you would enter x2 as x^2. (3x + 4)(3x - 4)
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 9x2 - 16.
Question 14c of 15 ( 3 Factoring a Difference of Squares 244562 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 16x^2 - 9
Question: Multiply the two binomials below to produce a difference of squares. Enter exponents using the caret (^). For
example, you would enter x2 as x^2. (4x + 3)(4x - 3)
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 16x2 - 9.
Question 15a of 15 ( 3 Factoring a Difference of Squares 145009 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 9A^2 - 16B^2
Question: Multiply the two binomials below to produce a difference of squares. Enter exponents using the caret (^). For example, you would enter x2 as x^2.
(3A + 4B)(3A - 4B)
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 9A2 - 16B2.
Question 15b of 15 ( 3 Factoring a Difference of Squares 244563 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 4A^2 - 9B^2
Question: Multiply the two binomials below to produce a difference of squares. Enter exponents using the caret (^). For example, you would enter x2 as x^2.
(2A + 3B)(2A - 3B)
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 4A2 - 9B2.
Question 15c of 15 ( 3 Factoring a Difference of Squares 244564 )
Maximum Attempts: 1
Question Type: Text Fill In Blank
Maximum Score: 2
Is Case Sensitive: false
Correct Answer: 16A^2 - 25B^2
Question: Multiply the two binomials below to produce a difference of squares. Enter exponents using the caret (^). For example, you would enter x2 as x^2.
(4A + 5B)(4A - 5B)
Attempt Incorrect Feedback
1st
Correct Feedback
Global Incorrect Feedback
The correct answer is: 16A2 - 25B2.