Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of...

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.

What is this area?

Red Area4x(6x)24x2

What is this area?

Grey Area3x(2x)6x2

What is my final answer?!

24x2 - 6x2

Degree of a Monomial

Degree of a Monomial – the sum of the exponents of all of its variables

Examples!

Monomial Degree

-2xy2z3

1+2+3 or 6

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

-4x2y2+3x2+5

3a+7ab-2a2b+16

4,2,0 4

1,2,3,0 3

Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of...

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