Factor
Solve by Factoring
Not in Standard Form
Special Cases
Operations
100

3n2+13n+12

(3n+4)(n+3)

100

m2+2m-3=0

x=1 or x=-3

100

n2+7n+14=2

n=-4 or n=-3

100

Factor  16x2-81

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

100

Simplify

(2x2-3x-12)+(-5x2+6x+5)

-3x2+3x-7

200

4v2-23v+15

(4v-3)(v-5)

200

3n2-13n+4=0

n=1/3 or n=4

200

5p2-9p+1=-3

p=4/5 or p=1

200

Solve 4v2-1=0

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

200

Simplify

(7x2-3x-1)-(2x2+6x+5)

5x2-9x-6

300

3b2-11b-4

(3b+1)(b-4)

300

10x2+x-3=0

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

300

3x2+5x=2

x=1/3 or x=-2

300

Factor 100x2-60x+9

(10x-3)2

300

Simplify

(x2-x-1)-(-x2+x-1)

2x2-2x

400

v2-7v+6

(v-1)(v-6)

400

3a2-19a+20=0

a=4/3 or a=5

400

15m2-2=-m

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

400

Factor  12x3-30x2

6x2(2x-5)

400

Simplify

(x2-x-1)(-x2+x-1)

-x4+2x3-x2+1

500

x2-x-12

(x-4)(x+3)

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

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
500

Solve 3r2+5r=0

r=-5/3 or r=0

500

Simplify

x(-x2+x-1)-x(1-x+x2)

-2x3+2x2-2x

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