Perfect Square Trinomials Exercise, Assignments of Calculus

A multiple choice exercise aimed at identifying perfect square trinomials. Students are required to factor the given expressions and choose the correct answer from the options provided.

Typology: Assignments

2021/2022

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Perfect Square Trinomials 1
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Factor the expression, if the trinomial is a perfect square. If it is not a perfect square, write "not a perfect square."
1)
x
2
+ 24x + 144
A)
(x - 12)
2
(x + 12)
2
C)
not a perfect square
D)
(x
+
12
)(x
-
12
)
1)
2)
b
2
- 12b + 36
A)
not a perfect square
(b + 6)
2
C)
(b - 6)
2
D)
(b
+
6
)(b
-
6
)
2)
3)
x
2
- 4xy + 4y
2
A)
(x
- 2y)(x + 2y)
(x + 2y)
2
C)
(x - 2y)
2
D)
not a perfect square
3)
4)
x
2
- 12x + 144
A)
(x + 12)
2
(x
+
12
)(x
-
12
)
C)
(x - 12)
2
D)
not a perfect square
4)
5)
64x
2
+ 48x + 9
A)
(8x + 3)
2
(
8
x
+
3
)(
8
x
-
3
)
C)
(8x - 3)
2
D)
not a perfect square
5)
pf2

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Special Products - Perfect Square Trinomials 1 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the expression, if the trinomial is a perfect square. If it is not a perfect square, write "not a perfect square."

  1. x^2 + 24x (^) + 144 A) (x (^) - 12)^2 B) (x (^) + 12)^2 C) not a perfect square D) (x (^) + 12 )(x (^) - 12 )
  1. b^2 - 12b + 36 A) not a perfect square B) (b + 6)^2 C) (b - 6)^2 D) (b + 6 )(b - 6 )
  1. x^2 - 4xy (^) + 4y^2 A) (x (^) - 2y)(x (^) + 2y) B) (x (^) + 2y)^2 C) (x (^) - 2y)^2 D) not a perfect square
  1. x^2 - 12x + 144 A) (x + 12)^2 B) (x + 12 )(x - 12 ) C) (x - 12)^2 D) not a perfect square
  1. 64x^2 + 48x (^) + 9 A) (8x (^) + 3)^2 B) ( 8 x (^) + 3 )( 8 x (^) - 3 ) C) (8x (^) - 3)^2 D) not a perfect square

Answer Key

Testname: 6.18.28 SOLVINGQUADRATICSI

1) B

2) C

3) C

4) D

5) A