Factoring Perfect Square and General Trinomials

Factoring Perfect Square and General Trinomials

Grade 8 Mathematics

Open Ended

What do you understand in Quarter 1 Module 2 (Q1M2)?

What is Perfect Square Trinomial?

​Characteristics

Grade 8 Mathematics

Multiple Choice

True or False. $$4x^2+12x+9$$  a perfect square trinomials

• True

• False

Multiple Choice

Complete the expression to make it a perfect square trinomial

16a² + ___ + 25

• 4a

• 5

• 20a

• 40a

16a² + ___ + 25

Multiple Choice

Complete the expression to make it perfect square trinomial

121b² - 66b + ___

• 3

• -3

• -9

• 9

121b² - 66b + ___

​Factoring Perfect Square Trinomial

Perfect Square Trinomial = Square of a Binomial

​Structures

a² + 2ab +b² = (a + b)²

​

a² - 2ab +b² = (a - b)²​

​Example

4x² - 44x + 121 = (2x - 11)²​

Multiple Choice

Factor $$9x^2-6x+1$$  

• 3x + 1

• 3x - 1

• (3x + 1)²

• (3x - 1)²

​Factor 9x² - 6x + 1

Multiple Choice

Factor $$5a^2+20a+20$$  

• 5(a + 2)

• 5(a - 2)

• 5(a - 2)²

• 5(a + 2)²

​Factor 5a² + 20a + 20

Trial and Error

X - Box Method​

Trial and Error

Table of Sum and Product​

Factoring General Trinomial

Grade 8 Mathematics

Multiple Choice

Factor $$x^2-4x-21$$  

• $$\left(x+3\right)\left(x-7\right)$$  

• $$\left(x+7\right)\left(x+3\right)$$  

• $$\left(x-7\right)\left(x-3\right)$$  

• $$\left(x-3\right)\left(x+7\right)$$  

Multiple Choice

Factor $$x^2+x-12$$  

• $$\left(x+4\right)\left(x-3\right)$$  

• $$\left(x-4\right)\left(x+3\right)$$  

• $$\left(x-4\right)\left(x-3\right)$$  

• $$\left(x+4\right)\left(x+3\right)$$  

Multiple Choice

Factor $$x^2-3x+2$$  

• $$\left(x-1\right)\left(x-2\right)$$  

• $$\left(x+1\right)\left(x+2\right)$$  

• $$\left(x-1\right)\left(x+2\right)$$  

• $$\left(x+1\right)\left(x-2\right)$$  

Watch this video

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X - Box Method​

Grade 8 Mathematics

Factoring General Trinomial

Multiple Select

What are the factors of $$6x^2+7x-3$$  ? (Choose 2 answe

• 3x - 1

• 2x + 3

• 3x + 1

• 2x - 3

Multiple Select

What are the factors of $$10x^2+33x-7$$  ? Choose 2 answers

• 5x - 1

• 2x + 7

• 5x + 1

• 2x - 7

Open Ended

What do you learn from this session?

Thank you

Grade 8 Mathematics