Fun with Factoring Jeopardy Template

Factor Completely

Give the Quadratic

Random

Zero Product Property

GCF/Difference of Squares

100

Factor:

x² - x - 12

(x - 4)(x + 3)

100

Root(s):

x = 2, x = 9

x² - 11x + 18

100

What does it mean when we solve for "x" in a quadratic equation?

We solve for the zeros of the function, i.e. where the graph intercepts the x-axis

100

Solve for x:

(x - 9)(x + 17)

x = 9, x = -17

100

Factor:

3x² + 12

3(x² + 4)

200

Factor and solve for x:

x² -7x + 10 = 0

Factor:(x - 5)(x - 2) = 0

Solve for x: x = 5, x = 2

200

Root(s):

x = -1/2, x = 2/3

x² - (1/6)x - 1/3

200

Find all factors for:

1, 2, 5, 7, 10, 14, 35, 70

200

Solve for x:

(x - 8)(2x - 7) = 0

x = 8, x = 7/2

200

Factor and solve for x:

x² - 16 = 0

Factor: (x + 4)(x - 4) = 0

Solve for x: x = 4, x = -4

300

Factor:

4x² - 13x + 3

(4x - 1)(x - 3)

300

Root(s):

x = -4, x = 7

x² - 3x - 28

300

What does it mean for a number to be prime?

Only divides by 1 and itself

300

Solve for x:

x(x - 6) = 0

x = 0, x = 6

300

Factor and solve for x:

4x² + 3x = 0

Factor: x(4x + 3) = 0

Solve for x: x = 0, x = -3/4

400

Factor and solve for x:

3x² - 5x - 2 = 0

Factor: (3x + 1)(x - 2) = 0

Solve for x: x = -1/3, x = 2

400

Root(s):

x = 14, x = -14

x²-196

400

Solve for x:

x/(x - 1) = 6/(x + 1)

x = 3, x = 2

400

Solve for x:

x² - x - 72 = 0

x = -9, x = 8

400

Factor:

12x²y² - 8xy²

4xy²(3x - 2x) = 4xy²(x) = 4x²y²

500

Factor and solve for x:

x(x + 3) = 2(x + 15)

Factor: (x + 5)(x - 6) = 0

Solve for x: x = -5, x = 6

500

Root(s):

x = 3

(*hint: a quadratic doesn't have to have two roots, it can have the same root)

(x - 3)(x - 3) or (x - 3)²

500

List the five steps to solve quadratic equations using factoring.

1.) Put the equation in standard form

2.) Factor the quadratic equation

3.) Set the first factor equal to 0 and solve for x

4.) Set the second factor equal to 0 and solve for x

5.) Check your work

500

Solve for x:

(x - 152)² = 0

x = 152

500

Factor:

4x² - 9

Trick! This equation can't be factored :)