A symbol, usually a letter, that represents the value or values of a quantity.
Variable
An expression with one term.
Monomial
What is (x - 1)2?
x2 - 2x + 1
Simplify (x + 1)(x - 1)
x2 - 1
172
289
Algebraic Expression
An expression with two terms.
Binomial
Simplify (x+11)2
x2 + 22x + 121
Simplify (2x - 3)(2x + 3)
4x2 - 9
Simplify 49 x 51
2499
A number sequence formed by adding a fixed number to each previous term to find the next term.
Arithmetic Sequence
An expression with three terms.
Trinomial
Simply (3 - 7x)2
9 - 14x + 49x2
Simplify (5 - 6x)(5 + 6x)
25 - 36x2
912
8281
A number sequence formed by multiplying a term in a sequence by a fixed number to find the next term.
Geometric Sequence
A polynomial with a degree of 2.
Quadratic Polynomial
Simply (4x2 - 3)2
16x4 - 24x2 + 9
Simplify (11x - 5x3)(11x + 5x3)
121x2 - 25x6
3022
91204
The numerical factor when a term has a variable.
Coefficient
A polynomial with a degree of 3.
Cubic Polynomial
Simply 3x(5 - 8x5)2
75x - 240x6 + 192x11
Simplify 20x(15x2 - 17x6)(15x2 + 17x6)
4500x5 - 5780x13
303 x 297
89991