Jeopardy Game Project (Destinee Ponder)

Operation of Complex Numbers

100

(10i + 7) + (6i - 1)

6 + 16i

200

 (20 - 11i) - (4 - 24i)

16 - 13i

300

5(15 + 13i) 

75 + 65i

400

(20 + 60i)(-10 + 16)

920 + 760i

500

5 + 2i / 4 + 2i

16 - 2i / 20

Quadratics

100

(4x - 8)² = 16

x = 3    x = 1

200

4x² - 10x + 12 = 0

10 + i√92

       8

300

4x² + 16x + 64 = -21 

x= -6 + i√21   and  x= 6 - i√21

400

x² - 35x + 48

Can't Factor

500

3x² + 8x + 4

(x + 2)(3x+2)

Operations of Polynomials

100

(6x² - 2x + 1)+(5x² + x - 7)

11x² - x - 6

200

(x² + 2x - 8) - (3x² + 2x + 9)

-2x² + 4x - 17

300

(4x⁵ + 5x³ - 2x + 7) ➗ (x+4)

4x⁴ - 16x³ + 69x² - 276x -1106 + 4431/ x + 4

400

4x(6x² + 3x - 7) + 2x(x² - 4x + 9)

26x³ + 4x² - 10x

500

5x(7x² + 4x - 1) - 4x(8x² - 6x + 7)

3x³ - 44x² - 33x

Binomial Expansion

100

(x + 3)²

x² + 6x + 9

200

(5x + 2y)³

125x³ + 150x²y + 60xy² + 8y³

300

(x + 4)⁵

x⁵ + 20x⁴ + 160x³ + 640x² + 1280x + 1024

400

(4x-4)³

64x³ - 192x² + 192x - 64

500

(10x + 2y)⁴

10,000x⁴ + 8,000x³y + 2,400x²y² + 320xy³ + 16y⁴

Rational Root Theorem

100

Name the possible roots for

f(x) = 4x³ - 3x² + 4x + 12

+1 , + 2 , + 3 , + 4, + 6 , + 12 , + ½ , + ¼ , + 3/2 , + ¾ , + 6/4

200

3x³ + 4x² + 7x - 6

find possible roots 

+1, +2, +3,  +6, +⅓,  + ⅔,  + 3/2

300

f(x) = 2x³ + 10x² + 5x + 3

This equation has ACTUAL roots, true or false

False

f(x) = 2x³ + 10x² + 5x + 3

Has POSSIBLE roots NOT actual roots

400

x³-5x²+2x+8

find all roots

-1,4,2

500

find all roots

x³ + 2x² - 12xx - 12

HAS NO ROOTS