Factoring
end behavior
finding zeros
classifying
100

factor: y=x4+7x2+12

(x2+4)(x2+3)

100

f(x)=x3-56

right up

left down

100

f(x)=(x-1)(x+3)(x)

0, 1, -3

100

y=x-5x+8

cubic

200

x3-8

(x-2)(x2+2x+4)
200

y=x6-5x3+4

both up

200

f(x)=x3-4x

0, 2, -2

200

y=x4-6x2

quartic

300

3x4+8x2-3

(3x2-1)(x2+3)

300

y=-x4-6x3+1

both down

300

f(x)=x4-3x2-28

sqrt(7). -sqrt(7), 2i, -2i

300

y=x2

quadratic

400

8x3+1

(2x+1)(4x2-2x+1)

400

y=-x5-7x2+10

right down

left up 

400

x3+27

-3, (3+/-3isqrt(3))/2

400

y=2x-8

linear

500

y=x3-7x4+5x2

quartic