Introduction to Algebraic Expressions
A combination of constants and variables connected by at least one of the operators +, – , x, and ÷ is known as an algebraic expression. A term is a constant, variable or a combination (product or quotient) of constants and variables. A term is a product of factors and the factors containing variables are called algebraic factors. The coefficient is the numerical factor in the term. The factor involving the variables or letters is called the literal coefficient. The types of algebraic expressions are: Monomials, binomials, trinomials and multinomials. A monomial has only one term. A binomial has only two terms. A trinomial has only three terms. A multinomial has more than three terms. An algebraic expression having only two terms is called binomial. An algebraic expression having only three terms is called trinomial. A polynomial has either one or more than one term. The degree of a polynomial is the degree of the highest degree term. Terms with same literal coefficients, i.e., terms with same variables having same exponents are called like terms. The terms with different algebraic factors are called unlike terms. Real number a is a root or zero of a polynomial P(x), if P(a) = 0.
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