Page 129 - Math Course 2 (Book 1)

Perfect Square Trinomials

Your Turn!

Factor Perfect Square Trinomials
2
2
Determine whether 9x – 12x + 16 is a perfect Determine whether 49x + 28x + 4 is a perfect
square trinomial. If so, factor it. square trinomial. If so, factor it.
A. yes; (3x – 4) 2 A. yes; (4x – 2) 2
B. yes; (3x + 4) 2 B. yes; (7x + 2) 2
C. yes; (3x + 4)(3x – 4) C. yes; (4x + 2)(4x – 4)
D. not a perfect square trinomial D. not a perfect square trinomial

Answer Answer

Factor Completely

2
2
Factor the polynomial 3x – 3. Factor the polynomial 4x + 10x + 6.
A. 3(x + 1)(x – 1) A. (3x + 2)(4x + 6)
B. (3x + 3)(x – 1) B. (2x + 2)(2x + 3)
2
C. 3(x – 1) C. 2(x + 1)(2x + 3)
2
D. (x + 1)(3x – 3) D. 2(2x + 5x + 6)
Answer Answer

MO. 4 - L3b
Let’s Begin
Solving Perfect Square

Trinomials
Solve Equations with Repeated
Key Concept Factors

Example

Square Root Property
2
Solve 4x + 36x + 81 = 0.
Symbols For any number > 0, if x = n, then 4x + 36x + 81 = 0 Original equation
2
2
x = + n
2
2
(2x) + 2(2x)(9) + 9 = 0 Recognize
Example x = 9 4x2 + 36x + 81 as
2
a perfect square
x = + 9 or + 3 trinomial.
2
(2x + 9) = 0 Factor the perfect
square trinomial.

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