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Perfect Square Trinomials and its factors

Total questions: 10

Worksheet time: 22mins

Name
Class
Date
1.

Supply the missing term of the factor of the given perfect trinomials below.

x2 − 6x + 9 = (x − (a)   )2

2.

Supply the missing term of the factor of the given perfect trinomials below.

4x2 − 4x + 1 = ( (a)   − 1)2

3.

Supply the missing term of the factor of the given perfect trinomials below.

9x2 + 12x + 4 = (3x + (a)   )2

4.

Supply the missing term of the factor of the given perfect trinomials below.

4x2 + 16xy + 16y2 = (2x + (a)   )2

5.

Supply the missing term of the factor of the given perfect trinomials below.

16a2 − 24ab + 9b2 = ( (a)   − 3b)2

6.

Factor y2 + 20y + 100

(a)  

7.

Factor k2 − 8k + 16

(a)  

8.

Which of the following is the factor of 16m2 + 48m + 36?

a)

( 4m - 6 )2

b)

( 2m + 6 )2

c)

( 4m + 6 )2

d)

( 4m + 6 ) ( 4m - 6 )

9.

Factor 49b2 − 14b + 1

a)

( 7b - 1)2

b)

( 7b +1 )2

c)

( 7b - 2)2

d)

( 7b + 1 )( 7b - 1)

10.

Factor completely: 3x2y − 24xy + 48y

a)

3 ( x - 4 )2

b)

3xy ( x - 4 )2

c)

3y ( x - 4 )2

d)

3y ( x + 4 )2