Classifying Polynomials
Names of Polynomials by their degree
Degree 
Name 
Example 
0 
constant 
5 
1 
linear 
2x 
2 
quadratic 
x^{2} + 3x + 2 
3 
cubic 
2x^{3} – x^{2} + 3x +2 
4 
quartic 
x^{4} + 2x^{3} – x^{2} + 3x + 1 
5 
quintic 
x^{5} – 3x^{4} + x^{3} – 2x^{2} + x + 5 
6 
sixth degree 
2x^{6} + 4x^{5} – x^{4} + 3x^{3} + 2x^{2} – x – 1 
Names of polynomials by the number of terms
Number of terms 
Name 
Examples 
1 
monomial 
2 
2 
binomial 
x + 3 
3 
trinomial 
x^{2} + 3x + 2 
4 or more 
polynomial 
2x^{3} – x^{2} + 3x +2 
Examples of different types of polynomials
Name 
monomial 
binomial 
trinomial 
constant 
constant monomial 


linear 
linear monomial 
linear binomial 
linear trinomial 
quadratic 
quadratic monomial 
quadratic binomial 
quadratic trinomial 
cubic 
cubic monomial 
cubic binomial 
cubic trinomial 
quartic 
quartic monomial 
quartic binomial 
quartic trinomial 
quintic 
quintic monomial 
quintic binomial 
quintic trinomial 
Practice:
Name each of the following polynomials by its degree and number of terms:
1) x^{3} + 1
2) 2x + 3y
3) x3 + x2 +x +1
4) x5 – x4
Answers
1) cubic binomial
2) linear binomial
3) cubic polynomial
4) quintic binomial
HOMEWORK ASSIGNMENT: Page 433 #1419 and 2734, Page 441 #2532 and 3942
HOMEWORK ANSWERS: