Factoring DOTS technique

The DOTS technique and the Marianna Mine

Quest

A party of Dwarves have become trapped in the caves deep in the Marianna Mine. Rescue them!

Multiple Choice

Ride the wagon train into the mine. which of the following is NOT a perfect square?

• 2

• 4

• x²

• 9

Multiple Choice

Cast an illumination spell to brighten the cave. Factor: x² - 100

• (x + 10)(x + 10)

• (x + 10)(x - 10)

• (x+100)(x+100)

• (x+100)(x-100)

Multiple Choice

Locate the trapped dwarves. Factor: x² - 16

• (x + 8)(x - 8)

• (x + 4)(x - 4)

• (x + 2)( x- 2)

• (x+1)(x-1)

Multiple Choice

Blast the rocks away with your magic. Factor: 36 - x²

• (x+6)(x-6)

• (6+x)(6-x)

• (x²+6)(x²-6)

• (6+x²)(6-x²)

Multiple Choice

The Blast revealed an ancient passage. Investigate! Factor: x² - 1/25

• (x + 5)(x-5)

• (x+12.5)(x-12.5)

• (x+1/5)(x-1/5)

• (x+1/12.5)(x-1/12.5)

Multiple Choice

Avoid the old traps. Factor: x²+144

• (x+12)(x-12)

• (x+72)(x-72)

• (x+144)(x-144)

• Not factorable

Multiple Choice

A casket sits in the center of a treasure filled room. Translate the text. Factor: 2x² - 18

• (2x+9)(2x-9)

• 2(x+9)(x-9)

• 2(x+3)(x-3)

• 2x(x+3)(x-3)

Multiple Choice

A Zombie king awakens, defeat it! Factor: x⁴ - 16

• (x+4)(x-4)

• (x+4)(x-4)(x+4)(x-4)

• (x²+4)(x+2)(x-2)

• (x+2)(x-2)(x+2)(x-2)

Congratulations

You have rescued the dwarves and secured an ancient treasure.

Poll

I can use the DOTS technique to factor an expression

• Strongly agree

• agree

• disagree

• Strongly disagree