Page 23 - iMath K to 12 Curriculum Series]

LESSON 1.4
LESSON 1.4

Factoring Perfect Square Trinomial

OBJECTIVES
At the end of this lesson, the students are expected to:
— Identify trinomials that are perfect squares.
— Factor trinomials completely using perfect squares.

Activity A Activity B
Try to convey the message using the I am always perfect in your eyes…
four clues given. Remove the perfect squares inside
the box. Cite the reason why.
C C
H 15 100, 2, 49, 155, 121, 10, 84, 64, 9, H
A (3)(5) 144, 1, 16, 25, 216, 101, 36, 78, 81, A
P 169, 196, 400, 65, 4x , y , a , b , P
2
2
3
4
5
10
4
3
8
7
6
T x , x , x , y , a , b , x , x 6 T
E NOMIAL E
R 4 equal sides NOMIAL How will you know that the given term R
1 NOMIAL is a perfect square? 1
2 Trinomials are perfect squares, if and only if: 2
3 2. The middle term can be negative or positive and twice the product of the quantities 3
1. The first and last terms are both positive and at the same time perfect squares.
4 that were squared. 4

5 Example 1: Determine whether these are perfect square trinomials. 5

6 a. x - 8x + 16 = d. x + 10x + 25 = 6
3
6
2
2
2
b. 9x - 6x + 1 =
e. x - 20x - 100 =
2
7 c. x - 9x + 81 = 7
8 Solution: 2 Yes, it is a perfect square trinomial, both first and last terms are 8
a. x - 8x + 16
9 x x -4 -4 perfect squares and the middle term is twice the product of the 9
quantities that were squared.
Middle term: 2(x)(-4) = -8x

2
b. 9x - 6x + 1 Yes, it is a perfect square trinomial.
3x 3x -1 -1
Middle term: 2(3x)(-1) = -6x
10 11
iMath 8: K to 12 Curriculum Series iMath 8: K to 12 Curriculum Series