Solving Quadratic Equations by Factoring!

Write an equation

100

Write in intercept form given roots at -1 and 5

(x+1)(x-5)=0

200

Write a quadratic equation in intercept form given a single root at 6

(x-6)(x-6)=0

300

Write a quadratic equation in standard form given roots at 2 and 3

x² -5x+6=0

400

Write a quadratic equation in standard form given roots at -1/5 and 5

5x²-24x-5=0

500

Write an equation in standard form given roots at -1/2 and 3/4

8x²-2x-3=0

FOIL

100

(X-5)(X+2)

x²-3x-10

200

(X+1)(X-1)

x²-1

300

(2X-3)²

4X-12X+9

400

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

6x²-17x+5

500

(3x-5)²

9x²-30x+25

Factor

100

5x²+30x

5x(x+6)

200

3x²+21x

3x(x+7)

300

x²-5x-6

(x-6)(x+1)

400

x²-9x+14

(x-7)(x-2)

500

2x²+11x+12

(2x+3)(x+4)

Find the roots

100

x²=49

x=7, -7

200

5x(2x-8)=0

x=0, 4

300

(x-12)(x+2)=0

x=12, -2

400

x²-3x-28=0

x=7, -4

500

4x²+5x-6=0

x=3/4, -2

Find the roots

100

x²-36=0

x=6, -6

200

4x²-12x=0

x=0, 3

300

(3x-6)(4x+16)=0

x= 2, -4

400

x²+13x+40=0

x=-8, -5

500

2x²+5x-3=0

x=-3, 1/2