Steps on Factoring A perfect square trinomial

2. PRAYER

4. ATTENDANCE

5. SITTING ARRANGEMENTS

6. Activity:
FILL ME!
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7. Direction: Fill in the blanks.
a. x2-1 (x + _)(_ - 1)
b. y2-4 (y + _)(y - _)
c. 4n2-9 (2n + _)(_ - _)

8. QUESTION:
What type of special
product are x2-1?
y2-4? 4n2-9?
Answer: (difference of two squares)

9. SOLVING QUADRATIC
EQUATION BY FACTORING
DIFFERENCE OF TWO
SQUARES

10. At the end of the discussion, you should
be able to:
a.) Apply concept on factoring
polynomials in difference of two squares.
b.) Solve quadratic equations by factoring
difference of two squares.

11. Steps in Solving Quadratic Equations in
Difference of two squares:
a) factor the left member of the equation.
b) apply the zero-product property.
c) solve each resulting equation.
d) check the values of the variable obtained by
substituting each in the original equation

12. Example #1
1) x2-1=0
Solution:
a. Factor the left member of equation: (x+1)(x-1) =0
b. apply the zero product property: x +1=0 / x-1=0
c. solve each resulting equation: x=-1 / x=1
solution: −1,1
(from previous activity)

13. d. check the values of the variable obtained by
substituting each in the equation:

15. d. check the values of the variable obtained
by substituting each in the equation:

16. Group Activity (with 4 members each)
Direction: Solve the following quadratic equation. Answer
the questions that follow.

18. Questions :
1. How did you find the solutions of the
given equation?
2. What mathematics concepts did you
apply in finding the solutions?

20. Factor then solve! (Work in pairs)
Direction: Solve the following
quadratic equations by factoring.
1.) x2 - 9 = 0
2.) 9a2 – 36 = 0

21. The expression x2 – 9 =0 and
9a2 – 36 = 0 are both example of a
quadratic equation.
In what instances in our daily lives
we can see quadratic equations?

23. Application to other areas:
Quadratic equations are applied in science, particularly in
physics. The lesson connects quadratic equations to the
study of kinematics and motion. When you understand
how quadratic equations describe the trajectory of a
projectile, you gain insight into the physics of motion. By
solving these equations, you can calculate the initial
velocity, height, and range of a projectile.

24. In the field of engineering, quadratic equations
hold significant importance and are highly
relevant. The quadratic equations are used for
various purposes, such as designing bridges,
predicting structural stability, or calculating the
range of projectiles in aerospace engineering.

25. TO SUM UP:
In your own words, what are the
steps in solving quadratic
equations by factoring using the
difference of two squares?

26. Complete the sentence.
Today, I learned
____________________________
____________________________
________________________.

27. Quiz
Instructions: Solve each quadratic
equation by factoring, specifically using
the difference of two squares method.
1.) x² - 81 = 0
2.) 16y² - 64 = 0
3.) 9z² - 25 = 0

28. ASSIGNMENT:
Instruction: Solve the following
quadratic equations.
1.) 𝑥2
− 225 = 0
2.) 100𝑦2
– 4 = 0
3.) 49𝑧2
– 9 = 0

29. THANK YOU 