2. GUIDE CARD
Least Mastered Skill:
Sub tasks:
Determine whether the given algebraic
expression is perfect square trinomial or not.
Complete the terms of the expression in the
product of the given factor of perfect square
trinomial..
Give the missing factor of the perfect square
trinomial
3. What is
Perfect
Square
Trinomial?
A PERFECT SQUARE
TRINOMIAL is the
result of squaring a
binomial.
Example:
(x + y)2 or (x + y) (x + y) = x2 + 2xy + y2
Therefore,
x2 + 2xy + y2 is a
PERFECT SQUARE
TRINOMIAL!
Correct!
4. Activity Card 1
Direction : Complete the terms. Write your answer in the space provided.
1. (x-y)(x-y) = x2 – 2xy + _______ 2. (2m+5)(2m+5) = _____ +20m + _____
3. (x+6)2 = x2 + _____ + _______ 4. (3a - 2)2 = _____ - 12a + ______
5. A PERFECT SQUARE TRINOMIAL has FIRST and LAST terms which are
PERFECT SQUARE, and a MIDDLE term is twice the product of the square root of the
FIRST and LAST terms.
Example : x2 + 6x + 9 is Perfect Square Trinomial, because
X2 and 9 are Perfect Square
𝑥2 = X 6x is 2 ( X )( 3 )
9 = 3
How do we easily identify if the given trinomial is a Perfect Square? Or not?
First Term Last Term
MiddleTerm
First Term
Last Term
MiddleTerm
6. Activity Card # 2
Am I Perfect Square
Trinomial or not?
Direction: Write PST if the given expression is Perfect Square Trinomial and
NOT PST if the given expression is not Perfect Square
Trinomial.
x2 + 4x + 41.
4x2 + 5x + 1
x2 – 24x + 36
6x2 – 9x + 84
81x2 - 126x + 49
9x2 + 24x + 14
2.
3.
4.
5.
6.
7.
8. To factor Perfect Square Trinomial:
Example: x2 + 18x + 81
1. Get the square root of the first term and the
last term. 𝑥2 = x
81 = 9
2. List down the square root as sum or
difference of two terms as the case may be.
(x+ 9)2 or (x+9) (x+9)
Is there any
pattern in
factoring Perfect
Square
Trinomial?
YES! You may use the following relationship to factor:
(1st term)2 + 2(1st term)(last term) + (last term)2 = (1st + last)2
(1st term)2 - 2(1st term)(last term) + (last term)2 = (1st - last)2
X2 – 14x + 49 = (x – 7)2 or (x-7)(x-7)
X2
72
2 (x) (7) =
14x
First Term 2nd Term
Last/3rd
Term
13. Direction : Encircle the letter of the correct answer.
1. Which of the
following
factors give a
product of
x2 +6x+9?
a. (x+3)(x-3)
a. (x+3)(x+3)
b. (x+3)(x+2)
c. (x+6)(x+3)
2. Which of the
following is perfect
square trinomial?
a. x2 + 3x + 16
b. x2 -18x + 9
c. x2 + 2x +1
d. 25 x2 + 25x +4
3. Which of the
following values
of k will make
x2 +8x + k perfect
square trinomial?
a. -16
b. 16
c. 64
d. -64
4. Which of the
following is Correct?
a. x2 +4x+4 = (x+4)2
b. X2 -12x +36 =(x+2)(x-6)
c. X2 +7x + 49 = (X+ 7)(x-7)
d. X2 -10x+25 =(x-5)2
5. What is the
factor of
64x2 +16x +1?
a. (8x+1)2
b. (8x -1)(8x+1)
c. (8x -1)2
d. (8x-2) (8x+2)
Assessment Card