WorksheetsFactor Trinomial Squares and Difference of Squares
Total questions: 20
Worksheet time: 20mins
Which of the following are in the form of difference of squares? Select all that apply.
(x - 3)(x + 3)
(2d - 5)(2d - 5)
(f + 6)(f - 6)
(k2 - 10)(k2 + 10)
(y + 1)(y + 1)
Factor:
n2 + 10n + 25
(n + 5)(n - 5)
(n + 25)(n + 1)
(n - 5)2
(n + 5)2
Factor
x2 + 18x + 81
(x + 9)(x – 9)
(x + 18)2
(x + 9)2
(x + 6)2
x2 - 9
(x + 3) (x - 3)
(x - 3) (x - 3)
(x + 3) (x - 6)
Can't factor using Diff. of Squares
4x2 - 25
(2x + 5) (2x - 5)
(2x - 5)2
(2x + 5)2
2x + 5(2x - 5)
x2 - 169
( x - 13) ( x + 13)
( x + 13) ( x + 13)
( x - 13) ( x -13)
Prime
Factor: m² - 81
(m + 9)(m + 9)
(m - 9)(m - 9)
Correct answer not given
(m + 9)²
Factor completely.
x2 - 144
( x - 12 ) 2
( x - 12 ) ( x - 12 )
( x + 12 ) ( x + 12 )
( x + 12 ) ( x - 12 )
x2 - 400
( x - 200) ( x + 200)
( x + 20) ( x + 20)
Prime
( x - 20) ( x + 20)
Factor x2 – 16.
(x + 2)(x – 8)
(x – 4)(x – 4)
(x + 4)(x + 4)
(x + 4)(x – 4)
4a2 - 25
(2a + 5) (2a - 5)
(2a - 5) (2a - 5)
(x + 5) (x - 5)
Can't factor using Diff. of Squares
r2 - 9t2
(r + 3t) (r - 3t)
(r - 3t) (r - 3t)
(3r + t) (3r - t)
Can't factor using Diff. of Squares
Fully Factor the Following
25x2-81
(5x-9)2
(5x+9)(5x-9)
25(x-9)2
(9x+5)(9x-5)
Is this a perfect square trinomial?
x2 + 14x + 49
Yes
No
Identify the perfect square trinomial.
9m2+6m+1
9m2+3m+1
9m2+9m+1
9m2+10m+1
Factor completely: 25x2+60x+36
(x-6)2
(x+6)2
(5x-6)2
(5x+6)2
Factor: 25x2-70x + 49
(x+7)2
(x-7)2
(5x+7)2
(5x-7)2
Is this a perfect square trinomial?
x2 + 16x + 64
Yes
No
Which of the following is a perfect square trinomial?
x2 – 4x – 4
x2 – 6x – 9
x2 + 6x – 9
x2 – 4x + 4
Which of the following is NOT a perfect square trinomial?
x2 – 16x + 64
x2 – 10x + 20
x2 – 28x + 196
x2 – 24x + 144
