Terminology
A Polynomial with with only 1 term
Monomial
Identify the pattern and the next 2 terms: 5, 10, 15, 20,...
+5 each time. 25, 30
Identify the common ratio and the next 2 terms: 1, 2, 4, ...
(x2) 8, 16
Identify what type of sequence this is and give the next 2 terms: 1,1,1,...
Either Arithmetic or Geometric. (+0) or (x1) 1,1
What is the degree: 23x4y5
9
The sum of the exponents of all its variables in a monomial
Degree
Identify the pattern and the next 2 terms: -2, 6, 14, ...
+8 each time. 22, 30
Identify the common ratio and the next 2 terms: 10, 5, 2.5, ...
(/2). 1.25, 0.625
Identify what type of sequence this is, the pattern, and give the next 2 terms: 1, -1, 1,...
Geometric. (x-1) -1, 1
What is the degree: -22x7z22a3-10x7z22a3
32
This Polynomial has 2 terms
Binomial
Identify the pattern and the next 2 terms: -3, -24, -45,...
-21 each time. -66, -87
Identify the common ratio and the next 2 terms: -21, 63, -189,...
(x-3). 567, -1701
Identify what types of sequence this is, the pattern, and give the next 2 terms: -3, 6, 15, ...
Arithmetic. (+9) 24, 35
What is the degree: 4x5+3x4-10x2+5
5
This Polynomial has 3 terms
Trinomial
Identify the pattern and the next 2 terms: 5.25, 12.5, 19.75,...
+7.25 each time. 27, 34.25
Identify the common ratio and the next 2 terms: 5, (10/3), (20/9), ...
(x (2/3)). (60/27), (120/81)
Write the equation of this sequence. What is the 50th term? 10, 20, 40,...
yn=10x(2)n-1. y50=10x(2)49
what is the degree: x5y3z2+x2y3z5+x3y2z5
10
The same as the degree of the monomial term with the highest degree.
Degree of the Polynomial
Identify the pattern and the next term: (1/2), (7/6), (33/18), ...
+ (2/3) each time. (135/54)
Identify the common ratio and the next 2 terms: (2/3), (-1/3), (1/6),...
(/-2). (-1/12), (1/24)
Write the equation of this sequence. What is the 201st term? 25, 5, 1,...
yn=25x(1/5)n-1. y50=25x(1/5)200
What is the degree: 8a8b3c4+7a4b-5c12-12b23c14
Not a Polynomial and so doesn't have a degree