Subtraction and Addition of Algebraic Expressions
Subtraction and Addition of Algebraic Expressions
Math 11 Objectives
The student should be able to:
Determine the degree of a polynomial
Identify the fundamental operations of polynomials
Definition of Terms
Algebraic expression is an expression involving constants and or variable, with all or some of the algebraic operations of addition, subtraction, division and multiplication Definition of Terms Components of an
Algebraic Expression Constant term: fancy name for a number
Variable term: terms with letters
Example: 3xy – 4z + 17
Variable expression with 3 terms: 3xy, -4z, 17
2 variable terms and 1 constant term
Variable Terms
Consist of two parts
The variable(letter) part
The number part
Example:
2xy has a coefficient of 2
-6j has a coefficient of –6
W has a coefficient of 1
Definition of Terms
Monomial an algebraic expression containing only one term ex. 4xy4
Binomial an algebraic expression containing two terms ex. 4a + 3b
Trinomial an algebraic expression containing three terms ex. 2a + 5b + 3c Definition of Terms
Polynomial an algebraic expression containing two or more terms
An algebraic expression in which each term is a constant, or a constant times a positive integral power of a variable, or a constant times the product of positive integral powers of two or more variables ex. 2x – 3y 4a3 – 2b + 5c 3x + 5
Degree of Polynomial
The degree of each term of a polynomial in x is the exponent of x in that term, and the degree of the polynomial is defined as the greatest exponent of x in the polynomial
We express a polynomial of degree n by A0Xn + A1Xn-1 + A2Xn-2 + ….. + An-1X + An where A’s are real constants with A0≠0, and n is a positive integer
Rules
Addition and subtraction of monomials can be done only if the monomials to be added are similar
Similar terms or like terms are those with the same factors or same literal parts Ex. 2x2y
Math 11 Objectives
The student should be able to:
Determine the degree of a polynomial
Identify the fundamental operations of polynomials
Definition of Terms
Algebraic expression is an expression involving constants and or variable, with all or some of the algebraic operations of addition, subtraction, division and multiplication Definition of Terms Components of an
Algebraic Expression Constant term: fancy name for a number
Variable term: terms with letters
Example: 3xy – 4z + 17
Variable expression with 3 terms: 3xy, -4z, 17
2 variable terms and 1 constant term
Variable Terms
Consist of two parts
The variable(letter) part
The number part
Example:
2xy has a coefficient of 2
-6j has a coefficient of –6
W has a coefficient of 1
Definition of Terms
Monomial an algebraic expression containing only one term ex. 4xy4
Binomial an algebraic expression containing two terms ex. 4a + 3b
Trinomial an algebraic expression containing three terms ex. 2a + 5b + 3c Definition of Terms
Polynomial an algebraic expression containing two or more terms
An algebraic expression in which each term is a constant, or a constant times a positive integral power of a variable, or a constant times the product of positive integral powers of two or more variables ex. 2x – 3y 4a3 – 2b + 5c 3x + 5
Degree of Polynomial
The degree of each term of a polynomial in x is the exponent of x in that term, and the degree of the polynomial is defined as the greatest exponent of x in the polynomial
We express a polynomial of degree n by A0Xn + A1Xn-1 + A2Xn-2 + ….. + An-1X + An where A’s are real constants with A0≠0, and n is a positive integer
Rules
Addition and subtraction of monomials can be done only if the monomials to be added are similar
Similar terms or like terms are those with the same factors or same literal parts Ex. 2x2y
References: College Algebra; De Guzman, Teofilo A.; Yabut, Erna V.; Santos, Rosita G; Baello, Helen B. ; Centro Escolar University 2011 Additions and Subtractions Equations, http://www.mathslideshows.com/ Algebraic Expressions, michelle1osborn.cmswiki.wikispaces.net/Algebraic_Expressions.ppt/ Simplifying Algebraic Expressions, www.gallatingatewayschool.com/media/algebraicexpression