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WorksheetsFactoring Remediation
Total questions: 20
Worksheet time: 2hrs 4mins
Name
Class
Date
1.
Factor
r2 -16r + 60
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
2.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
3.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
4.
Solve for a by factoring.
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
5.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
6.
7r3-8r2+42r-48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
7.
2x3-8x2-x+4
a)
(2x2-1)(x-4)
b)
2(x2-1)(x+4)
c)
(x2-1)(2x-4)
d)
(2x2+1)(x-4)
8.
x3-5x2+5x-25
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
9.
30x3+15x2-18x-9
a)
(5x2-3)(6x+1)
b)
(5x2-3)(6x+3)
c)
3(5x2+3)(2x-1)
d)
3(5x2-3)(2x+1)
10.
Factor by grouping:
5n³-10n²+3n-6
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
11.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
12.
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)
13.
Factor
2x2 - 13x - 70
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
14.
5x2−12=17x
a)
{−3,20}
b)
{−53, 4}
c)
{−4, 53}
d)
{−20,3}
15.
3p2−17p=30−8p
a)
{3,5,−2}
b)
{2,−5}
c)
{−2,5}
d)
{−6,15}
16.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
17.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
18.
What is the factored form of 25x2-9
a)
(5x+3)(5x-3)
b)
(x+5)(x-3)
c)
(x-3)(x+5)
d)
(5x+3)(3x+5)
19.
x2 -4 = 77
a)
9
b)
-9
c)
No Real Solutions
d)
±9
20.
Solve by taking the square root:
4x2 = 100
a)
±10
b)
±25
c)
±5
d)
5
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