Degree and Types of Polynomials
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Special Products
100

4y + 7

first degree polynomial

100

(3x+5) + (4x+1)

7x + 6

100

(11x - 7y) - (2x + 6y)

9x - 13y

100

(x+2)(x+3)

x2+5x+6

100

(x-4)2

x2-8x+16

200

3x

first degree polynomial

200

(6x-7) + (4x+5)

10x-2

200

(x- 3x) - (2x2 + 5x)

-x2 - 8x

200

(x-7)(x+2)

x2-5x-14

200

(x + 8)(x - 8)

x2 - 64

300

4x2 + 5x + 6

second degree polynomial

300

(4y + 5) + (-7y - 1)

-3y + 4

300

(5x2-4x+7) - (8x2 -2x-2)

-3x2 -2x +9

300

(x - 2)(x - 3)

x2 - 5x + 6

300

(x - 1)2

x2 - 2x + 1

400

We get this type of polynomial when we multiply (x+6)(x-8).

trinomial

400

(2x2 + 6x) + (x2 - 5x + 7)

3x2 + x + 7

400

(5x3+4x+7-x2) - (2x-6x2+x4)

-x4+5x3+5x2+2x+7

400

(2x+4)(x-8)

2x2-12x-32

400

(3x - 4)2

9x2 - 24x + 16

500

This type of polynomial is the result of the following product: (x+2)(x-2)

binomial

500

(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)

4x3 + x2 – 3x + 1

500

3x(3x + 6) - 3(x2 + 4x + 1)

6x2 + 6x - 3

500

(2x3+3)(3x2 − 4x + 7)

6x5 − 8x4 + 14x3 + 9x2 − 12x + 21

500

(a + 3)- (6x + 9)

a2