Classify
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Graph/Solving
100

4y + 3

Linear Binomial

100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
100

Solve: x3-3x2-18x

x = 0, -3, 6

200

2x4+9x3-5x2+6

Quartic Polynomial
200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200
(2x-5)(3x+2)
6x2-4x-10
200

Tell the zeros and end behavior.

y=x4-3x3+2x

End Behavior:

Left           Right                Zeros: (-0.7, 0), (0,0)

f(x) infinity   f(x) infinity               (1,0)  (2.7, 0)

x neg infinity   x infinity 

300

4x2+6x-3x5

Quintic Trinomial

300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300
(2x-4)-2(4x-2)
-6x
300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300

Solve.

y = x3 - 2x2 + 5x +10

x = 2, 5i, -5i

400

Write an example of a polynomial with 3 terms and degree of 3. Classify it.

Ms. Bohling will check!

400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400

(2x2-4x+6)(x2+5x-2)

2x4+6x3-18x2+38x-12

400

Tell the relative min/max and intervals.

y=x4-3x3+2x

max (0.5, 0.7)       min (-0.4, -0.6), (2.1, - 4.1)


Intervals D(-infinity, -0.4], [0.5, 2.1]

              I[-0.4, 0.5] , [2.1, infinity)

500

4

Constant Monomial

500

(5x3+4x2-2x+2)+2(2x3-2x2+x+5)

9x3+12

500

(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)

2x3+10x2-14x+15

500
Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom? Area = lw
x2+x-20 square ft
500

Solve.

y = 3x+ 6x2 + 6x + 3

x = -1, (-1 +/- i sq root of 3)/2