tailieunhanh - Symbols of addition 7

Tham khảo tài liệu 'symbols of addition 7', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | ---------------------------------------- THEA MATH REVIEW --------------------------------------- Examples 8c 8 is the coefficient to the variable c. 6ab 6 is the coefficient to both variables a and b. Three Kinds of Polynomials Monomials are single terms that are composed of variables and their exponents and a positive or negative coefficient. The following are examples of monomials x 5x -6y3 10x2y 7 0. Binomials are two non-like monomial terms separated by or - signs. The following are examples of binomials x 2 3x2 - 5x -3xy2 2xy. Trinomials are three non-like monomial terms separated by or - signs. The following are examples of trinomials x2 2x - 1 3x2 - 5x 4 -3xy2 2xy - 6x. Monomials binomials and trinomials are all examples of polynomials but we usually reserve the word polynomial for expressions formed by more three terms. The degree of a polynomial is the largest sum of the terms exponents. Examples The degree of the trinomial x2 2x - 1 is 2 because the x2 term has the highest exponent of 2. The degree of the binomial x 2 is 1 because the x term has the highest exponent of 1. The degree of the binomial -3x4y2 2xy is 6 because the x4y2 term has the highest exponent sum of 6. Like Terms If two or more terms have exactly the same variable s and these variables are raised to exactly the same exponents they are said to be like terms. Like terms can be simplified when added and subtracted. Examples 7x 3x 10x 6y2 - 4y2 2y2 3cd2 5c2d cannot be simplified. Since the exponent of 2 is on d in 3cd2 and on c in 5c2d they are not like terms. The process of adding and subtracting like terms is called combining like terms. It is important to combine like terms carefully making sure that the variables are exactly the same. Algebraic Expressions An algebraic expression is a combination of monomials and operations. The difference between algebraic expressions and algebraic equations is that algebraic expressions are evaluated at different given values for variables while .