Definitions
Combining
Multiplying monomials and binomials
Multiplying binomials
Multiplying binomials and trinomials
100

In an expression, this is the term that has no variable attached to it.

What is a constant?

100

(9x+y)+(3x-y)

9x+3x

100

x(x+1)

x2+x

100

(x+1)(x+1)

x2+2x+1

100

(x+3)(x2-2x+1)

x3+x2-5x+3

200

3x, 4y, 6x2, 5xy are examples of this.

What are monomials?

200

(3x2+2x)+4x2+1

7x2+2x+1

200

-3x(x-4)

-3x2+12x

200

(x+4)(x-4)

x2-16

200

(x-1)(x2+2x4)

x3+x2+2x-4

300

This is the name for the biggest exponent in a polynomial.

What is the degree?

300

(9xy-2y+3y)-(4xy+5y)

5xy-4y

300

-5x2(-x+4)

5x3-20x2

300

(3x+2)(x-3)

3x2-7x-6

300

(x-2)(2x2+3x+1)

2x3-x2-5x-2

400

This is the number in front of a variable, which it is being multiplied by.

What is a coefficient?

400

(x2 +3x-1)+(5x2-5x-7)

6x2-2x-8

400

4x3(5x2-2x)

20x5-8x4

400

(x3+5x)(x2-4)

x5+x3-20x

400

(x2-2)(3x4-4x2-5)

3x6-10x4+3x2+10


500

When multiplying polynomials, we use this property.


What is the Distributive Property?

500

15x2y+3xy2-4x2y+5xy

11x2y+3xy2+5xy

500

3xy(xy-1)

3x2y2-3xy

500

(x+y)(x+y)

x2+2xy+y2

500

(x-y)(x2+xy-y)

x2+2xy+y2