Classifying Polynomials
End Behavior
Turning Points
Factoring
Solve by Trinomial Factor
100
3x2+6x+10 

quadratic trinomial

100

4x3-3x

down and up

100

3x2-4x+2

1 turning point

100

3x3-5x2+12x

x(3x2-5x+12)

100

3x2+2x−9=6x−10

x=1 x=1/3

200

5

constant monomial

200
-4x2+8x-3

down and down

200

4x4-2x3+7

3 turning points

200

3x2+12x-6

3(x2+4x-2)

200

4x2+12x=4x-3

x=-1/2 x=-3/2

300

6X5-2x4+7x3+x2-8x-3

quantic polynomial of 6 terms

300
-3x5-4x+1

up and down

300

x7+5x6+3x-1

6 turning points

300

4x3+16x2-8x

4x(x2+4x-2)

300

3x2+10x+2=−6

x=-4/3 x=-2

400

6X3+4

cubic binomial

400

7x2+6x-1

up and up

400

x4+3x-1

3 turning points

400

64x2-24x-16

8(8x2-3x-2)

400

3x2+5=5x+7

x=-1/3 x=2

500

x4+3x3-6x2

quartic trinomial

500

-4x4+3x2+4

down and down

500

3x8-8x6+3x5-7x+1

7 turning points

500

15x2-30x+40

5(3x2-6x+8)

500

5x2+9x=7x+7

x=-7/5 x=1

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