PolynomialsBy Jonathan Gamble
Polynomial Vocabulary!!!!
Polynomial – a monomial or the sum of monomials
Types of Polynomials
• Binomial- the sum of two monomials
• Trinomial – the sum of three monomials
Examples
State whether the following is a polynomial and if it is identify the type.
Expression Polynomial? Monomial, Binomial, or Trinomial?
2x-3yz Yes Binomial
8n3+5n-2 No None of these
-8 Yes Monomial
4a2+5a+a+9 Yes Trinomial
Application!
Write a polynomial to represent the area of the red region.
3x
2x
6x
4x
What is this area?
Red Area4x(6x)24x2
What is this area?
Grey Area3x(2x)6x2
What is my final answer?!
24x2 - 6x2
=
18x2
Degree of a Monomial
Degree of a Monomial – the sum of the exponents of all of its variables
Examples!
Monomial Degree
8y4
3a
-2xy2z3
7
4
1
1+2+3 or 6
0
Degree of a Polynomial
Degree of a Polynomial – the greatest degree of any term in the polynomial
Examples!
Polynomial Degree of each term
Degree of Polynomial
5mn2
-4x2y2+3x2+5
3a+7ab-2a2b+16
3 3
4,2,0 4
1,2,3,0 3
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