Degree of Polynomials
Adding or Subtracting Polynomials
Factor
Multiplying Binomials
Distributive Principle
100
4y + 7
What is a first degree polynomial
100
(3x+5) + (4x+1)
7x + 6
100
12a - 4b
What is 4(3a - b)
100
(x+2)(x+3)
x2 + 3x + 2x + 6 x2+5x+6
100
4(3x + 4)
12x + 16
200
3x
What is a first degree polynomial
200
(6x-7) + (4x+5)
10x-2
200
7x - 7
What is 7(x - 1)
200
(x-7)(x+2)
x2 + 2x - 7x - 14 x2-5x-14
200
2(5x + 6)
10x + 12
300

4x2 + 5x + 6

What is a second degree polynomial

300
(5x-7) - (8x-2)
-3x - 5
300

x2 + 12x + 20

(x + 10) (x + 2)

300
(2x+4)(x-8)
2x2 - 16x + 4x - 32 2x2-12x-32
300
6(x+12)
6x+72
400

2x - 4x3 + 5x5 - x2 + 3

What is a 5th degree polynomial?

400
(5x-3) + (4x+7) + (2x-6)
11x-2
400

x2 - 81

(x - 9) (x + 9)

400

(x-4)2

(x-4)(x-4) x2 - 4x - 4x + 16 x2-8x+16

400

4y(3x-y+5)

12xy-4y2+20y

500
-15
What is a zero degree polynomial
500

(6x2+ 5x -8) - (x2 -6x+8)

5x2+11x-16

500

12x2 + 17x + 6

(4x+3)(3x+2)

500

Daily Double!  Polynomials don't have to be binomials to multiply them together.  (3x+4y)(x2+y -1)

 3x3 + 3xy - 3x + 4x2y + 4y2- 4y

500

-3x2(2x-6)

-6x3+18x2