Introduction to Factoring

Introduction to Factoring

Grade 8 Mathematics

What is inside?

​You should learn the following...

Common Factoring

Difference of Two Squares

Sum or Difference of Two Cubes​

Grade 8 Mathematics

Open Ended

What do you understand in Q1M1?

​Factoring Strategy

Factoring

​Writing the expression in different form

Grade 8 Mathematics

Common Factoring

Grade 8 Mathematics

Factoring

Grade 8 Mathematics

Multiple Choice

Factor $$5x+30$$  

• $$5\left(x+6\right)$$  

• $$5$$  

• $$x+6$$  

• $$x-6$$  

​Let's discuss Factor 5x + 30

Multiple Choice

Which of the following is the common factor of $$x^3-2x^2$$  

• $$x$$  

• $$x^2$$  

• $$-x$$  

• $$x^3$$  

​Let's discuss Factor x³ - 2x²

Multiple Select

What are the factors of $$3a-ax$$  

• $$a$$  

• $$3-x$$  

• $$-a$$  

• $$3+x$$  

​Let's discuss Factor 3a - ax

Difference of Two Squares

Grade 8 Mathematics

Multiple Choice

Identify if the expression below is difference of two squares

$$4b^2-8$$  

• Yes!

• No!

​Let's discuss

Identify if 4b² - 8 is a difference of two squares

Multiple Choice

Factor $$121a^2-4$$  

• $$\left(11a+2\right)\left(11a-2\right)$$  

• $$\left(11a+2\right)\left(11a+2\right)$$  

• $$\left(11a-2\right)\left(11a-2\right)$$  

• $$\left(11a+2\right)^2$$  

​Let's discuss

Factor 11a² - 4

Multiple Choice

Factor Completely $$x^4-1$$  

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

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

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

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

​Let's discuss

Factor completely x⁴ - 1

Multiple Choice

Find the area of shaded part

• $$t^2+25$$  

• $$t^2$$  

• $$25$$  

• $$t^2-25$$  

​Let's discuss

Find the area of the shaded part

Sum or Difference of Two Cubes

Grade 8 Mathematics

Multiple Choice

What is the binomial factor of $$125c^3-d^3$$  ?

• $$5c-d$$  

• $$5c+d$$  

• $$5c^2-d^2$$  

• $$5c^2+d^2$$  

​Let's discuss

What is the binomial factor of 125c³ - d³

Multiple Choice

What is the trinomial factor of $$b^6+27$$  

• $$b^4+3b^2+9$$  

• $$b^2+3$$  

• $$b^4-3b^2+9$$  

• $$b^2-3$$  

​Let's discuss

What is the trinomial factor of b⁶ + 27?

Multiple Choice

Factor completely -2m⁵ + 250m²

• $$-2m^2\left(m-5\right)\left(m^2+5m+25\right)$$  

• $$\left(m-5\right)\left(m^2+5m+125\right)$$  

• $$2m\left(m-5\right)\left(m^2+5m+25\right)$$  

• $$\left(m+5\right)\left(m^2-5m+25\right)$$  

​Let's discuss

Factor completely -2m⁵ + 250m²

Open Ended

What topic is the easiest?

Common Factoring,

Difference of Two Square or

Sum or Difference of Two Cubes?

Why

Open Ended

What topic is topic challenging?

Common Factoring,

Difference of Two Square or

Sum or Difference of Two Cubes?

Why?