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WorksheetsFACTORING - Perfect Trinomial Square and Grouping
Total questions: 15
Worksheet time: 28mins
Name
Class
Date
1.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
2.
Which of the following is a perfect square trinomial?
a)
x2 – 4x – 4
b)
x2 – 6x – 9
c)
x2 + 6x – 9
d)
x2 – 4x + 4
3.
Factor by Grouping:
20x3-25x2+4x-5
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)
4.
Factor by Grouping:
30x3+15x2-18x-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)
5.
The value of k in the perfect square trinomial kx2+30xy +9y2 is _________
a)
3
b)
5
c)
81
d)
25
6.
Factor completely. 9m2+30mn+25n2
a)
(3m+5n)2
b)
(3m-5n)2
c)
(3m+n)2
d)
(m+5n)2
7.
Factor by grouping
x3 - 4x2 -4x + 16
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
8.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
9.
Factor completely: 16x2-24x+9
a)
(16x-3)(x-3)
b)
(16x+9)(x+1)
c)
(4x-3)(4x-3)
d)
(4x+3)(4x+3)
10.
Factor 4x2 − 12x + 9 completely
a)
(2x −3)2
b)
(2x +3)2
c)
(2x −3)(2x + 3)
d)
Cannot be SOLVED
11.
Factor completely: 25x2+60x+36
a)
(25x-6)(x-1)
b)
(5x-6)(5x-6)
c)
(5x+6)2
d)
(25x+4)(x+9)
12.
7r3 - 8r2 + 42r - 48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
13.
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)
14.
Factor
9x2 - 12x + 6x - 8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
15.
Factor: 6x2 + 21x + 4x + 14
a)
(3x - 2)(2x - 7)
b)
4(2x + 5)(3x - 4)
c)
(3x + 2)(2x + 7)
d)
6(x + 2)(x - 7)
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