In an expression, this is the term that has no variable attached to it.
What is a constant?
(9x+y)+(3x-y)
9x+3x
x(x+1)
x2+x
(x+1)(x+1)
x2+2x+1
(x+3)(x2-2x+1)
x3+x2-5x+3
3x, 4y, 6x2, 5xy are examples of this.
What are monomials?
(3x2+2x)+4x2+1
7x2+2x+1
-3x(x-4)
-3x2+12x
(x+4)(x-4)
x2-16
(x-1)(x2+2x4)
x3+x2+2x-4
This is the name for the biggest exponent in a polynomial.
What is the degree?
(9xy-2y+3y)-(4xy+5y)
5xy-4y
-5x2(-x+4)
5x3-20x2
(3x+2)(x-3)
3x2-7x-6
(x-2)(2x2+3x+1)
2x3-x2-5x-2
This is the number in front of a variable, which it is being multiplied by.
What is a coefficient?
(x2 +3x-1)+(5x2-5x-7)
6x2-2x-8
4x3(5x2-2x)
20x5-8x4
(x3+5x)(x2-4)
x5+x3-20x
(x2-2)(3x4-4x2-5)
3x6-10x4+3x2+10
When multiplying polynomials, we use this property.
What is the Distributive Property?
15x2y+3xy2-4x2y+5xy
11x2y+3xy2+5xy
3xy(xy-1)
3x2y2-3xy
(x+y)(x+y)
x2+2xy+y2
(x-y)(x2+xy-y)
x2+2xy+y2