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MCA - 6.4 - Factoring Polynomials with Special Forms

Total questions: 14

Worksheet time: 42mins

Name
Class
Date
1.
Fully Factor the Following
25x2-81
a)
(5x-9)2
b)
(5x+9)(5x-9)
c)
25(x-9)2
d)
(9x+5)(9x-5)
2.
3x- 75
a)
3( x + 5 ) ( x - 5 ) 
b)
Prime
c)
( x + 5 ) ( x - 5 ) 
d)
3( x - 5 ) ( x - 5 ) 
3.
16p3 - 81q6
a)
(4p + 9q) (4p - 9q)
b)
(4p2 + 9q3) (4p - 9q3)
c)
(4p2 + 9q) (4p - 9q)
d)

Not Factorable

4.
9n2 + 1
a)
(3n + 1) (3n - 1)
b)
(3n - 1) (3n - 1)
c)
(n + 3) (n - 3)
d)

Not Factorable

5.
36x2 - 64
a)
(6x - 8)(6x + 8)
b)
4(3x - 4)(3x + 4)
c)
Not Factorable
d)
(9x - 16)(9x + 16)
6.
49n2 - 25
a)
Not Factorable
b)
(3n + 5)(3n - 5)
c)
(7n + 5)(7n - 5)
d)
(5n + 7)(5n - 7)
7.

Factor completely.

121x2 - 49

a)

( 11x - 7 ) 2

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

8.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
9.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
10.
Which of the following is a perfect square trinomial?
a)
x2 – 18x + 81 
b)
x2 – 12x + 6 
c)
x2 + 20x + 40 
d)
x2 – 12x – 36 
11.
Which of the following is NOT a perfect square trinomial?
a)
x2 – 16x + 64 
b)
x2 – 10x + 20 
c)
x2 – 28x + 196 
d)
x2 – 24x + 144 
12.
25x+ 60x + 36
a)
(5x + 6)2
b)
(5x - 6)2
c)
(5x + 18)2
d)

Not Factorable

13.

In general, the ---- is NOT factorable

(a)  

14.

Which of the Learning Targets have we NOT talked about yet?

(a)