Solving Quadratics by Factoring Jeopardy

Factoring

100

Factor

x^2-8x+12

(x-2)(x-6)

200

Factor

3x^2-15x

3x(x-5)

300

Factor

k^2+10k+25

(k+5)^2

400

Factor

8x^2-3x-5

(8x+5)(x-1)

500

Factor

10x^2-x-3

(2x+1)(5x-3)

Solving when a=1

100

Solve

x^2-8x+12=0

x={2, 6}

200

Solve

k^2+10k+5=-20

k={-5}

300

Solve

2x^2-8x+96=20x

x={6, 8}

400

Solve

2x^2+10x-32=12x-20

x={-2, 3}

500

Solve

9p^2+90p+48=6p^2+87p+174

p={-7, 6}

Solving when a>1

100

Solve

8x^2-3x-5=0

x={-5/8, 1}

200

Solve

4x^2-15x+9=0

x={3/4, 3}

300

Solve

3n^2-25n+8=0

n={1/3, 8}

400

Solve

4v^2+31v=8

v={1/4, -8}

500

Solve

10x^2-3x=-2x+3

x={-1/2, 3/5}

Solving with GCFs

100

Solve

x^2-2x=0

x={0, 2}

200

Solve

v^2=-v

v={-1, 0}

300

Solve

3p^2-5p+4=4

p={0, 5/3}

400

Solve

3x^2+5x+3=20x+3

x={0,5}

500

Solve

m^2-3m=-2m^2+5m

m={0, 8/3}

Solving by taking Roots

100

Solve

5x^2+8=28

x={-2, 2}

200

Solve

5n^2-7=23

x={sqrt6, -sqrt6}

300

Solve

3x^2+1=-23

x={2isqrt2,-2isqrt2} 

400

Solve

49n^2-8=17

n={5/7, -5/7}

500

Solve

9x^2-7=-107

x={(10i)/3, -(10i)/3}