Factoring
Zero Product Property
Domain/range
System Of Equations
Solve for x,y Intercepts
1

Factor: y=2x2-5x-12


(2x+3)(x-4)

1

0=(x+12)(2x-40)

x=-12,x=20

1

y=3(x-10)2-23

Domain:XER

Range:y ≥ -23

1

30=5a-12b 

45=a+6b


a=17.14

b=4.64

1

y=6x2-3x+42

y=(0,42)

x=None

2

Factor:y=6x2-2x-88

(2x-8)(3x+11)

2

4(x-42)(6x-54)=0

x=42,x=9

2

y=14(x+31)2+41

Domain:XER

Range:y ≥ 41

2

3x+2y=35

4x+6y=12

x=18.6

y=10.4

2

y=8(x-10)2-7

x=(10.94,0)

x=(-9.06,0)

y=(0,793)

3

Factor:y=12x2+34x-90

(6x-10)(2x+9)

3

0=23(7x2-70)(2x-22)

x=3.1623,x=11

3

y=4x3-12x+10

Domain:XER

Range:YER

3

9x+16y=105

21x-4y=22

x=2.08

y=-5.39

3

y=4(x+6)3+11

y=(0,875)

x=(-7.401,0)

4

Factor:y=7x2+39.5x-15

(7x-2.5)(x+6)

4

Nearest Thousandth*

(x3-28)(12x+180)

x=3.037,x=-15

4

y=10x3-4x+13

Domain:XER

Range:YER

4

4x-12y=23

4.6x+9y=-34

x=2.20

y=1.18

4

y=6/8(x+12)3-9

y=(0,1287)

x=

5

Factor:y=6x2+2.75x-10.6875

(3x+4.75)(2x-2.25)

5

23(3x3-32)+41(4x+31)=0

x=2.202,x=-7.75

5

y=√x-10

Domain:x≥10

Range:y≥0

5

8.6x-3.2y=46.1

11.1x+9.6y=124.9

x=7.13

y=4.756

5

y=6|x-14|+8

y-int = (0,92)

x-int = (15.33,0)(-13.33,0)