Polynomials By Jonathan Gamble. Polynomial Vocabulary!!!! Polynomial – a monomial or the sum of monomials Types of Polynomials Binomial- the sum of two.

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Presentation transcript:

Polynomials By 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. ExpressionPolynomial?Monomial, Binomial, or Trinomial? 2x-3yzYes Binomial 8n 3 +5n -2 NoNone of these -8YesMonomial 4a 2 +5a+a+9YesTrinomial

Application! Write a polynomial to represent the area of the red region. 3x 2x 6x 4x What is this area? Red Area 4x(6x) 24x 2 What is this area? Grey Area 3x(2x) 6x 2 What is my final answer?! 24x 2 - 6x 2 = 18x 2

Degree of a Monomial Degree of a Monomial – the sum of the exponents of all of its variables Examples! MonomialDegree 8y 4 3a -2xy 2 z or 6 0

Degree of a Polynomial Degree of a Polynomial – the greatest degree of any term in the polynomial Examples! PolynomialDegree of each termDegree of Polynomial 5mn 2 -4x 2 y 2 +3x a+7ab-2a 2 b ,2,04 1,2,3,03