Quadratics

Factoring Quadratics

100

Factor out y=x² -4x +3

(x-3)(x-1)

200

Factor out x² +10x +9

(x+1)(x+9)

300

Factor out x² +15x +50

(x+5)(x+10)

400

Factor out 3x³ + 15x² + 12x

3x(x+4)(x+1)

500

30x²y² + 18x²y – 12x²

6x²(5y - 2)(y + 1)

Completing the Square

100

Complete the square for x² – 6x – 12 = 0

X = 3 ± √21

200

Complete the square for x²+6x-30=0

x=-3± √39

300

Complete the square for x² -4x+3=0

x=3

x=1

400

Complete the square for x2 – 3 = 4x

X = 2 ± √7

500

Complete the square for x² -3x-7

x=1.5± √9.25

Only use Quadratic Formula

100

Use formula for 8x² + 10x + 3 = 0

x=-3/4

x=-1/2

200

Use formula for 3x² +7x+2

x=-1/3

x=-2

300

Use formula for x² +2x-3

x=1

x=-3

400

Use formula for 2x² -7x-15

x=5

x=-1.5

500

Use formula for 5x² -3x-2

x=1

x=-2/5

turn quadratic into vertex form

100

Change this into vertex form 

y=x² -4x+3

y=(x-2)² -1

200

Change this into vertex form

y=x² +4x -5

y=(x+2)²-9

300

Change this into vertex form

y=-x²+6x+11

y=-(x-3)² +20

400

Change this into vertex form

y=5x² +10x+1

y=5(x+1)² -4

500

Change this into vertex form

y=3x² +18x-1

y=3(x+3)² -28

Find X intercept of quadratic

100

Find the x-intercept for:x² − 7x + 12

x=3 

x=4

200

Find the x-intercept for: 6x² − 23x + 20

x=4/3

x=5/2

300

Find the x-intercept for: x² − 9 

x =3

x=-3

400

Find the x-intercept for: x²+ 12x + 36

x =-6

500

Find the x-intercept for:y=x² -8x+7

x=7

x=1