Algebra 2 Jeopardy By Diego Martinez

Operations of Complex Numbers

100

(-7+9i)+(2-10i)

-5-i

200

(5-6i)-(3-2i)

2-4i

300

-3i(6-8i)

-24-18i

400

(4+i)(7-3i)

31-5i

500

1+2i/7+2i

11+12i/53

Quadratics

100

(m+8)²=81 [Square Root Method]

m=1, m=-17

200

x²-8x+16=0 [Factoring]

x=4, x=4 

300

4x²+8x-5 [Factoring]

(2x+5)(2x-1)

400

x²-2x-24=0 [Completing the Square]

x=6, x=4

500

4x²+7x-7=0 [Quadratic Formula]

-7±√161/8

Operations of Polynomials

100

(3x²+5x+2)+(4x²+7x+6)

7x²+12x+8

200

(4x-6)-(7x+2)

-3x-8

300

2x(x²+3x-4)+6(x²-2x+2)

2x³+12x²-20x+12

400

(x+3)(x+1)

x²+4x+3

500

(x²-3x-18)/(x-6)

x+3

Binomial Expansion

100

(x-y)³

x³-3x²y+3xy²-y³

200

(4x-y)³

64x³-48x²y+12xy²-y³

300

(y-4)⁴

y⁴-16y³+96y²-256y-256

400

(2x+5)⁴

16x⁴+160x³+600x²+1000x+625

500

(x-3y)⁵

x⁵-15x⁴y+90x³y²-270x²y³+405xy⁴-243y⁵

Rational Root Theorem

100

f(x)=5x³-11x²+7x-1

Final Roots: 1,1,1/5

200

f(x)=2x³-3x²-11x+6

Final Roots: -2,3,1/2

300

f(x)=4x³-9x²+6x-1

Final Roots: 1,1,1/4

400

f(x)=2x³-5x²+4x-1

Final Roots: 1,1,1/2

500

f(x)=5x³-32x²+37x-10

Final Roots: 1,5,2/5