Factor Special Cases

Factor Special Cases

By Deb Scott

Multiple Choice

Factor x² – 16.

• (x + 2)(x – 8)
• (x – 4)(x – 4)
• (x + 4)(x + 4)
• (x + 4)(x – 4)

Multiple Choice

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Multiple Select

Which is an example of difference of two squares?

• ( x³ - 4)

• ( x² - 3)

• ( x² + 4)

• ( x² - 4)

Multiple Choice

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

Multiple Choice

We can't factor using difference of two square this

49x² + 4y². Why?

• Because 4 is not a perfect cubed number.

• Because 4 is not a perfect squared number.

• Because 49 is not a perfect squared number.

• Because we can't factor using difference of two squares if it is addition sign.

Multiple Choice

Factor

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Does not factor (prime)

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Multiple Select

Select all expressions that are a difference of squares.

• $$x^2-81$$  

• $$x^2+9$$  

• $$2x^2-49$$  

• $$x^2-1$$  

• $$36x^2-25$$  

Multiple Select

Select all expressions that are perfect square trinomials

• $$x^2-6x+9$$  

• $$x^2+10x+25$$  

• $$x^2+12x-36$$  

• $$4x^2-20x+25$$  

• $$9x^2-16x+100$$  

Multiple Choice

Factor: $$16y^2-24y+9$$  

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

• $$\left(8y\ +\ 3\right)^2$$  

• $$\left(8y-3\right)^2$$  

• $$\left(4y-3\right)^2$$  

Multiple Choice

$$a^2-10a+25$$  Factor:

• $$\left(a-5\right)\left(a+5\right)$$  

• $$\left(a+5\right)^2$$  

• $$\left(a-5\right)^2$$  

• $$\left(a-10\right)^2$$  

Multiple Choice

$$64x^2+112x+49$$  Factor:

• $$\left(8x-7\right)\left(8x+7\right)$$  

• $$\left(8x-7\right)^2$$  

• $$\left(16x+7\right)^2$$  

• $$\left(8x+7\right)^2$$  

Multiple Choice

Factor

x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Multiple Choice

Factor

4x² + 36x + 81

• 2(2x + 9)²

• (2x + 9)²

• (2x + 9)(2x - 9)

• (2x - 9)²