Solving Quadratic Equations by Factoring

Factor

100

3n²+13n+12

(3n+4)(n+3)

200

4v²-23v+15

(4v-3)(v-5)

300

3b²-11b-4

(3b+1)(b-4)

400

v²-7v+6

(v-1)(v-6)

500

x²-x-12

(x-4)(x+3)

Solve by Factoring

100

m²+2m-3=0

x=1 or x=-3

200

3n²-13n+4=0

n=1/3 or n=4

300

10x²+x-3=0

x=1/2 or x=-3/5

400

3a²-19a+20=0

a=4/3 or a=5

500

Jenna hit a softball into the air with an initial upward velocity of 48 feet per second. The height h in feet of the ball above the ground can be modeled by h=-16t²+48t+2 where x is the time in seconds after Jenna hit the softball. Find the time it takes the ball to reach 38 feet above the ground.  

1.5 seconds

Not in Standard Form

100

n²+7n+14=2

n=-4 or n=-3

200

5p²-9p+1=-3

p=4/5 or p=1

300

3x²+5x=2

x=1/3 or x=-2

400

15m²-2=-m

m=-2/5 or m=1/3

500

The area of a rectangular room is 160 square feet. The length is 6 feet longer than the width w. Find the dimensions of the room.

10 by 16

Special Cases

100

Factor  16x²-81

(4x-9)(4x+9)

200

Solve 4v²-1=0

v=-1/2 or v=1/2

300

Factor 100x²-60x+9

(10x-3)²

400

Factor  12x³-30x²

6x²(2x-5)

500

Solve 3r²+5r=0

r=-5/3 or r=0