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U2 L5-L7 Factoring Review

Total questions: 18

Worksheet time: 41mins

Name
Class
Date
1.

Factor completely. 5x2+20x5x^2+20x  

a)

 5(x+4)5\left(x+4\right)  

b)

 5x(x+20)5x\left(x+20\right)  

c)

 5x(x+4)5x\left(x+4\right)  

d)

 5(x+20)5\left(x+20\right)  

2.

Factor completely.

k2+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

3.

Factor completely.

n2 + 16n + 63

a)

(n-7)(n+9)

b)

(n+7)(n-9)

c)

(n+3)(n+21)

d)

(n+7)(n+9)

4.

Factor

k2 -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+8)(k-3)

d)

(k-8)(k+3)

5.

Factor completely.

n2-13n+40

a)

(n+5)(n-8)

b)

(n-5)(n-8)

c)

(n-5)(n+8)

d)

(n-4)(n-10)

6.

Factor:

x2 -17x - 60

a)

(x - 20)(x + 3)

b)

(x - 5)x -12)

c)

(x - 3)(x - 20)

d)

(x + 3)(x + 20)

7.

 x2−18x+81x^2-18x+81  Factor the following polynomial

a)

 (x+9)2\left(x+9\right)^2  

b)

(x+9)(x-9)

c)

Prime

d)

 (x−9)2\left(x-9\right)^2  

8.

Factor the following polynomial


15d5 + 45d3

a)

5d3 (3d2 + 15)

b)

15d (d4 + 3d)

c)

15d3 (d2 + 3)

d)

15d3 (d + 3)

9.

Factor the following polynomial


y2 - 5y - 50

a)

5y ( y - 10)

b)

(x + 10)(x - 5)

c)

(x - 25)( x + 2)

d)

(x - 10)(x + 5)

10.

u2 - 13u + 30

a)

(u - 5)(u - 6)

b)

(u + 10) (u + 3)

c)

(u - 15)(u + 2)

d)

(u - 10)(u - 3)

11.
Factor 
2c2 + 4c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2x-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
12.
Factor Completely: 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
13.
Factor:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
14.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
15.
Factor Completely:
 5v2 - 30v + 40
a)
(5v - 8)(v + 5)
b)
(5v + 5)(v - 8)
c)
5(v - 4)(v - 2)
d)
5(v + 8)(v - 5)
16.
Factor Completely:
 6x² + 5x - 6
a)
6(x + 1)(x - 6)
b)
(6x + 6)(x - 1)
c)
(2x - 3)(3x + 2)
d)
(3x - 2)(2x + 3)
17.
Factor Completely:
 15t² - 27t - 6
a)
3(5t +1)(t - 2)
b)
(3t - 6)(5t + 1)
c)
3(5t - 1)(t + 2)
d)
(15t + 6)(1t - 6)
18.
Factor Completely:
 3n² - 15n + 18
a)
(n - 2)(n - 3)
b)
3(n + 2)(n + 3)
c)
(3n - 9)(n - 2)
d)
3(n - 3)(n - 2)