WorksheetsPerfect Square Trinomial
Total questions: 20
Worksheet time: 5hrs 50mins
Name
Class
Date
1.
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
2.
Which of the following is a perfect square trinomial?
a)
x2 + 14x – 49
b)
x2 + 20x + 100
c)
x2 – 8x + 4
d)
x2 – 5x + 6
3.
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
4.
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
5.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
6.
Factor
x2 + 18x + 81
a)
(x + 9)(x – 9)
b)
(x + 18)2
c)
(x + 9)2
d)
(x + 6)2
7.
Is the polynomial a perfect square and if it is factor the polynomial.
x² - 16x + 16
x² - 16x + 16
a)
Is not a perfect square
b)
Is a perfect square; (x + 4)²
c)
Is a perfect square; (x - 4)²
d)
Is a perfect square; (x - 16)²
8.
Factor: x2 - 4x + 4
a)
(x + 2)2
b)
(x - 2)2
c)
(x + 4)2
d)
(x - 4)2
9.
x2 - 20x + 100
a)
(x-10)2
b)
(x+10)2
10.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
11.
Factor:
n2 + 10n + 25
n2 + 10n + 25
a)
(n + 5)(n - 5)
b)
(n + 25)(n + 1)
c)
(n - 5)2
d)
(n + 5)2
12.
Is this a perfect square trinomial?
x2 + 16x + 64
x2 + 16x + 64
a)
Yes
b)
No
13.
The value of k in the perfect square trinomial kx2+30xy +9y2 is _________
a)
3
b)
5
c)
81
d)
25
14.
The value of k in the perfect square trinomial 4 a2 + 20a +k is _________.
a)
15
b)
20
c)
25
d)
5
15.
The value of k in the perfect square trinomial 225a2 + 30ab + k is _________
a)
10
b)
b2
c)
15
d)
4b2
16.
Factor completely. 9m2+30mn+25n2
a)
(3m+5n)2
b)
(3m-5n)2
c)
(3m+n)2
d)
(m+5n)2
17.
Factor completely. b2-22b+121
a)
(b+11)2
b)
(b-11)2
c)
(b2+11)2
d)
(2b-11)2
18.
Factor completely. 16p2 - 8p + 1
a)
(4p-1)2
b)
(4p+1)2
c)
(p-4)2
d)
(4p-1)
19.
Which of the following has (2x+31)2 as factors?
a)
41x2+31x+91
b)
x2+x+41
c)
x1x2−21x+91
d)
x2+31x+91
20.
Put into standard form: (x - 3)2
a)
x2 + 3x + 9
b)
x2 - 3x - 9
c)
x2 + 6x - 9
d)
x2 - 6x + 9
100 %
