Convince me you
can factor!
Completely factor the following:
x2–5x–36
Choose from the following choices:
(x+6)(x–6)
(x+9)(x–4)
(x+12)(x–2)
1
(x+4)(x–9)
Incorrect Answer!
Click anywhere to try another trinomial
with a leading coefficient of 1.
Completely factor the following:
x2+x–12
Choose from the following choices:
(x+12)(x–1)
(x+4)(x–3)
(x+3)(x–4)
2
(x+1)(x–12)
Incorrect Answer!
Click anywhere to try one more
trinomial (ax2+bx+c) where a=1.
Remember, your answer should be in
the form (x+p)(x+q), where
p+q=b and pq=c
Completely factor the following:
x2+11x+30
Choose from the following choices:
(x+10)(x+3)
(x–2)(x–15)
(x+15)(x+2)
3
(x+6)(x+5)
Incorrect Answer! (You should seek extra help!)
Record the following word in slot one of your
answer sheet: Delinquent
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Well done!
Please record the following word in slot one of
your answer sheet: Angry
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Please record the following word in slot one of
your answer sheet: Belligerent
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Please record the following word in slot one of
your answer sheet: Cranky
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Completely factor the following:
2x2+5x+3
Choose from the following choices:
(2x+1)(x+3)
(2x+3)(x+1)
(2x+4)(x–1)
1
(x+3)(x+2)
Incorrect Answer!
Click anywhere to try another trinomial
with a leading coefficient not equal to 1.
Completely factor the following:
4x2+8x–5
Choose from the following choices:
(2x+5)(2x–1)
(4x+5)(x–1)
(2x+1)(2x–5)
2
(4x–1)(x+5)
Incorrect Answer!
Click anywhere to try one more
trinomial (ax2+bx+c) where a≠1.
Remember, you need to split the middle
term so you have (ax2 + px) + (qx + c),
where p+q=b and pq=ac.
Completely factor the following:
6x2–11x+3
Choose from the following choices:
(6x–1)(x–3)
(6x–3)(x–1)
(3x–3)(2x–1)
3
(3x–1)(2x–3)
Incorrect Answer! (You should seek extra help!)
Record the following word in slot two of your
answer sheet: Daring
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Please record the following word in slot two of
your answer sheet: Anxious
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Please record the following word in slot two of
your answer sheet: Busy
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Please record the following word in slot two of
your answer sheet: Cantankerous
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Completely factor the following:
12x5y7z3+6x2y8z6–36y6z3
Choose from the following choices:
6xyz(2x4y6z2+xy7z5-6y5z2)
6(2x5y7z3+x2y8z6-6y6z3)
6y6z3(2x5y+x2y2z3-6)
1
Incorrect Answer!
Click anywhere to try another
GCF-type problem.
Completely factor the following:
25x3-5x2
Choose from the following choices:
5x2(5x)
5x2(5x-1)
5(5x3-x2)
2
Incorrect Answer!
Click anywhere to try one more
GCF-type problem.
Remember, you need to factor out the
GREATEST common factor not simply a
common factor.
Completely factor the following:
3x2y-15x3y2
Choose from the following choices:
3x2y(1-5xy)
3x2y(-5xy)
3(x2y-5x3y2)
3
Incorrect Answer! (You should seek extra help!)
Record the following word in slot three of your
answer sheet: Dingos
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Please record the following word in slot three of
your answer sheet: Aardvarks
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Please record the following word in slot three of
your answer sheet: Bears
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Please record the following word in slot three of
your answer sheet: Cheetahs
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Completely factor the following:
2x2+20x+48
Choose from the following choices:
2(x2+10x+24)
2(x+4)(x+6)
(2x+8)(x+6)
1
(x+4)(x+24)
Incorrect Answer!
Click anywhere to try another
multi-step factoring problem.
Completely factor the following:
3x2-3x-18
Choose from the following choices:
3(x-3)(x+2)
3(x-2)(x+3)
3(x2–x-6)
2
(3x+6)(x-3)
Incorrect Answer!
Click anywhere to try one more
multi-step factoring problem.
Remember, you need to factor out the
GREATEST common factor first and
then factor the remaining expression.
Completely factor the following:
10x2+35x+15
Choose from the following choices:
5(x+3)(2x+1)
(10x+5)(x+3)
5(2x2+7x+3)
3
(5x+15)(2x+1)
Incorrect Answer! (You should seek extra help!)
Record the following word in slot four of your
answer sheet: Decorate
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Please record the following word in slot four of
your answer sheet: Annoy
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Please record the following word in slot four of
your answer sheet: Bully
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Please record the following word in slot four of
your answer sheet: Cajole
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Completely factor the following:
9x2-25
Choose from the following choices:
3x-5
(3x-5)2
(3x+5)(3x-5)
1
(9x+5)(x-5)
Incorrect Answer!
Click anywhere to try another
difference of perfect squares
factoring problem.
Completely factor the following:
x2-1
Choose from the following choices:
x-1
(x+1)2
(x+1)(x-1)
2
(x-1)2
Incorrect Answer!
Click anywhere to try one more
difference of perfect squares (a2–b2)
factoring problem.
Remember, your answer should be in
the form (a+b)(a–b).
Completely factor the following:
36x2-49
Choose from the following choices:
6x-7
(6x–7)2
(x+7)(x–7)
3
(6x+7)(6x–7)
Incorrect Answer! (You should seek extra help!)
Record the following word in slot five of your
answer sheet: Dainty
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Well done!
Please record the following word in slot five of
your answer sheet: Artistic
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Please record the following word in slot five of
your answer sheet: Big
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Please record the following word in slot five of
your answer sheet: Curious
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Completely factor the following:
8x2+20x–12
Choose from the following choices:
4(2x2+5x–3)
4(2x–1)(x+3)
(2x–1)(x+3)
1
(x+3)(8x-4)
Incorrect Answer!
Click anywhere to try another
multi-step factoring problem.
Completely factor the following:
8x2+38x–10
Choose from the following choices:
2(4x+1)(x–5)
(x–5)(8x+2)
(2x–10)(4x+1)
2
2(4x2+19x-5)
Incorrect Answer!
Click anywhere to try one more
multi-step factoring problem.
Remember, you need to factor out the
GREATEST common factor first and
then factor the remaining expression.
Completely factor the following:
10x2+35x+15
Choose from the following choices:
5(2x+1)(x+3)
(10x+5)(x+3)
5(2x2+7x+3)
3
(5x+15)(2x+1)
Incorrect Answer! (You should seek extra help!)
Record the following word in slot six of your
answer sheet: Delirious
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Well done!
Please record the following word in slot six of
your answer sheet: Ambitious
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Please record the following word in slot six of
your answer sheet: Brown
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Please record the following word in slot six of
your answer sheet: Curly
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Completely factor the following:
2x2–32
Choose from the following choices:
2(x2–16)
2(x–4)2
2(x+4)(x–4)
1
(x+4)(x–4)
Incorrect Answer!
Click anywhere to try another
multi-step factoring problem.
Completely factor the following:
9x2–81
Choose from the following choices:
9(x2–9)
(9x+27)(x–3)
9(x+3)(x–3)
2
(x+3)(9x–27)
Incorrect Answer!
Click anywhere to try one more
multi-step factoring problem.
Remember, you need to factor out the
GREATEST common factor first and
then factor the remaining expression.
Completely factor the following:
25x2–25
Choose from the following choices:
25(x2–1)
(5x+5)(5x–5)
25(x+1)(x–1)
3
(25x+25)(x–1)
Incorrect Answer! (You should seek extra help!)
Record the following word in slot seven of your
answer sheet: Does
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Well done!
Please record the following word in slot seven of
your answer sheet: Alley-cats
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Please record the following word in slot seven of
your answer sheet: Billy-goats
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Please record the following word in slot seven of
your answer sheet: Cows
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Turn in your completed answer sheet!
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