
2.4-2.8 REVIEW for Factoring QUIZ
Presentation
•
Mathematics
•
10th Grade
•
Easy
+1
Standards-aligned
Ashley Rideout
Used 4+ times
FREE Resource
6 Slides • 26 Questions
1
You can take this as many times as you'd like!
2.4-2.8 REVIEW for Factoring QUIZ
2.4: Solving in Factored Form
2.5 : Factoring x² + bx + c
2.6 : Factoring ax² + bx + c
2.7: Factoring Special Products (Difference of 2 Squares & Perfect Square Trinomials)
2.8: Factoring/Solving Polynomials Completely
2
Set each factor equal to zero.
Solve all "mini" equations.
2.4
Solving in Factored Form
3
Multiple Choice
Solve the equation
x(x−5)=0
x=0
x=5
x=0 and x=5
No solution
4
Multiple Choice
Solve the equation
6d(d+8)=0
d=0 and d=−8
d=6 and d=−8
d=0 and d=8
d=6 and d=8
5
Multiple Choice
Solve the equation
(x−3)(x+5)=0
x=−3 and x=5
x=3 and x=−5
x=3
x=−15
6
Multiple Choice
Solve the equation
(3x+6)(2x−10)=0
x=−2 and x=5
x=2 and x=−5
x=−6 and x=10
x=6 and x=−10
7
Multiple Choice
Solve the equation
(y−10)2=0
x=−10 and x=5
x=10
x=−10
x=10 and x=−10
8
Find factors that multiply to "c" and add to "b".
Place each factor in its own binomial with x.
2.5
Factoring x² + bx + c
9
Multiple Choice
x2 + 9x - 36
10
Multiple Choice
n2 + 16n + 63
11
Multiple Choice
x2 - 5x - 36
12
Multiple Choice
k2 - 2k - 24
13
Multiple Choice
Factor.
v2+11v+28
(v−7)(v+4)
(v+7)(v−4)
(v+6)(v+3)
(v+7)(v+4)
14
Find factors that multiply to "ac" and add to "b".
Rewrite middle term with chosen factors.
Factor using preferred method:
Grouping
Divide by a
AKA "Bottoms Up"
Cross Factors
AKA Cross Multiply
2.6
Factoring ax² + bx + c
15
Multiple Choice
Factor : 3x2 - 7x - 6
16
Multiple Choice
3v2 - 4v - 7
17
Multiple Choice
2m² + 3m - 9
18
Multiple Choice
5x2-28x+32
19
Multiple Choice
20
Is it a binomial?
Is it subtraction?
Are BOTH terms perfect squares?
2.7
Factoring Special Products
Is it a trinomial?
Are the FIRST and LAST terms perfect squares?
Is the middle term equal to double the product of each square root?
Check if it fits the pattern for Difference of Two Squares OR Perfect Square Trinomial.
If it does, follow the pattern and you're done!
21
Match
Match the following:
Perfect Square Trinomial
Difference of 2 Squares
Prime (unfactorable)
4x²-32x+64
x²-1
x²+1
4x²-32x+64
x²-1
x²+1
22
Multiple Choice
23
Multiple Choice
24
Multiple Choice
Factor
x2 + 18x + 81
(x + 9)(x – 9)
(x + 18)2
(x + 9)2
(x + 6)2
25
Multiple Choice
26
2.8
Factoring Completely
Factor out GCF if possible.
Look for special products.
Factor.
Solve if set equal to 0.
"Mini" equations of each factor equal to 0.
27
Multiple Choice
Factor completely:
3x2 + 18x +15 Hint: Factor GCF first.
28
Multiple Choice
Factor Completely 6p2+90p+300
6(p+5)(p+10)
5(p−6)(p−10)
6(p+5)(p−10)
(p+8)(p+9)
29
Multiple Choice
Factor Completely 5x2+20x−105
5(x−3)(x+7)
5(x+3)(x−7)
5(x−3)(x−7)
Not Factorable
30
Multiple Choice
2y2 + 3y - 2 = 0
31
Multiple Choice
Solve the equation. 6x2 + x = 15
x = -2/3 or x = 1
x = -5/3 or x = -3/2
x = 3/5 or x = -2
x = -3/2 or x = 5
32
Multiple Select
Factor and solve for p 3p3+9p2−210p=0
p = 0
p = -10
p = 7
p = 10
p = -7
You can take this as many times as you'd like!
2.4-2.8 REVIEW for Factoring QUIZ
2.4: Solving in Factored Form
2.5 : Factoring x² + bx + c
2.6 : Factoring ax² + bx + c
2.7: Factoring Special Products (Difference of 2 Squares & Perfect Square Trinomials)
2.8: Factoring/Solving Polynomials Completely
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