WorksheetsReview Factoring A1H
Total questions: 23
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
Factor:
x2 -17x - 60
x2 -17x - 60
a)
(x - 20)(x + 3)
b)
(x - 3)(x + 20)
c)
(x - 3)(x - 20)
d)
(x + 3)(x + 20)
2.
x2-17x+72
a)
(x+2)(x-36)
b)
(x-8)(x+9)
c)
(x-8)(x-9)
d)
(x-4)(x-7)
3.
Is this a perfect square trinomial?
x2 + 16x + 64
x2 + 16x + 64
a)
Yes
b)
No
4.
Factor:
x2 - 30x + 225
x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
5.
Fully Factor the Following
25x2-81
25x2-81
a)
(5x-9)2
b)
(5x+9)(5x-9)
c)
25(x-9)2
d)
(9x+5)(9x-5)
6.
Fully Factor the Following
4x2-16
4x2-16
a)
(2x-4)(2x+4)
b)
(4x-4)(4x+4)
c)
4(x-2)2
d)
4(x-2)(x+2)
7.
Fully Factor the Following
16x2+25
16x2+25
a)
16x2+25
b)
(4x-5)(4x+5)
c)
(4x+5)(4x-5)
d)
(4x+5)2
8.
Factor:
17xy - x
17xy - x
a)
17(xy - x)
b)
y(17x - x)
c)
x(17y - 1)
d)
not factorable
9.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
Unfactorable
d)
(3v+1)(v-10)
10.
Factor: 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
11.
Factor: 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
12.
Factor:
56a3 - 8a
56a3 - 8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
13.
Factor: (hint: difference of squares)
x2 - 25
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
14.
Factor:
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
15.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
16.
Factor:
9x2 - 49
9x2 - 49
a)
(3x + 7)(3x - 7)
b)
(3x + 7)2
c)
(x - 7)2
d)
(x+7)(x-7)
17.
A square has an area of 25x2+20x+4 square feet. Find the length of one side of the square.
HINT: Squares have equal sides
HINT: Squares have equal sides
a)
(x+2) meters
b)
(x-2) meters
c)
(5x+2) meters
d)
(5x-2) meters
18.
What is the GCF?
28p3+16p2+16p
a)
2p
b)
4p
c)
4p2
d)
8p2
19.
Factor 4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
20.
Factor Completely.
8x3 - 18x
8x3 - 18x
a)
2x(4x2-9)
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
21.
7r3-8r2+42r-48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
22.
20x3-25x2+4x-5
a)
(5x2-5)(4x+1)
b)
5(x2-1)(4x+5)
c)
(5x2+1)(4x-5)
d)
(5x2+1)(4x-1)
23.
Factor by grouping:
x³+7x²-2x-14
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
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