Types of Polynomials
Adding or Subtracting Polynomials
Factoring
FOIL
Grab Bag (Anything Goes)
100

4y + 7

Binomial

100

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

7x + 6

100

x2 + 12x + 20

(x + 10) (x + 2)

100

(x+2)(x+3)

x2+5x+6

100

This indicates a quadratic equation from any other.

A variable raised to the highest order/degree of 2.

200

3x

Monomial

200

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

10x-2

200

x2 - 81

(x - 9) (x + 9)

200

(x-7)(x+2)

x2-5x-14

200

(x + y)(x + y)

x2+2xy+y2

300

4x2 + 5x + 6

Trinomial

300

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

-3x2 -2x +9

300

6x3-18x2+7x-21

(6x2+7)(x-3)

300

(x+4)(x-8)

x2-4x-32

300

(x + y)(x -y)

x2 - y2

400

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

trinomial

400

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

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

400

3x2-18x+27

3(x-3)(x-3)

400

(x-4)2

x2-8x+16

400

(x+3)2-(6x+9)

x2

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

12x2 + 17x + 6

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

500

DAILY DOUBLE (this one is HARD!) (2x3+3)(3x2 + 7)

6x5 + 14x3 +9x+ 21

500

Simplify and multiply (Remember order of operations):

(7x3 +8x2-10x3+9x+3x3-3x-6x2)(x+1)

2x3+8x2+6x