Expansion & Factorization Jeopardy Game

Multiply and Distribute

100

 (x + 4)(x – 3) 

x² +x -12

200

 (x+5)(x+7)

x² + 12x +35

300

(x + 2) (x + 1)

x² +   3x + 2

400

(x²-2)(x+2)

x³+2x²-2x-4

500

(x²-3x+2)(x³-2x²+4x-5)

x⁵-5x⁴+12x³-21x²+23x-10

Fantastic Factoring!

100

Factor the polynomial.

9x + 45= 

9 (x+ 5)

200

Factor the polynomial.

7x² - 21x=

7x (x-3)

300

Factoring the difference of squares.

9x² - 18x +9=

(3x - 3)²

400

Factor.

25n² - 100n +100

(5n - 10)²

500

Factor:

 5a²x³t⁵+ 15a³xt⁸

5a²xt⁵ (1x² + 3at³)

Factoring Fun!

100

Factor:

16x² + 40x + 25

(4x + 5)²

200

Factor:

36x² - 132x + 121

(6x - 11)²

300

Factor:

x² + 6x + 9

(x + 3)²

400

Factoring polynomials of the form x² + bx + c.

x² -6x + 9 

(x - 3)²

500

Factor:

16x²+ ? + 81

? = 72x

Completing the square

100

Complete the square and turn into graphing form: 

a² − 2a − 15 = 0 

y=(a-1)² -16

200

Complete the square and turn into graphing form:

p² + 16p +60 = 0

y=(p+8)²-4

300

Complete the square and turn into graphing form: 

x² + 12x  = -23

y=(x+6)²-13

400

Complete the square and turn to graphing form:

x² - 15x = -51

y=(x-7.5)²-5.25

500

Complete the square, find the y-intercept AND the vertex:

x² + 10x + 22

y=(x + 5)²-3

y-intercept: (0,22)

Vertex: (-5, -3)

Graphing Form

100

What is the y intercept and vertex of this equation:

y=(x-4)² +7

y-int: (0,23)

Vertex: (4,7)

200

What is the y intercept and vertex of this equation:

y-8=(x-2)²

y-int: (0,12)

Vertex: (2,8)

300

What is the y intercept and vertex of this equation:

y+4=(x+9)²-7

y-intercept: (0,70)

vertex: (-9, -11)

400

What is the y intercept and vertex of this equation:

2y=2(x-8)²+14

y-intercept: (0,71)

vertex:(8, 7)

500

Turn this to graphing form and then find the y intercept and vertex of this equation:

x²-4x+7=0

y=(x-2)²+3

y-intercept: (0,7)

Vertex: (2,3)