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An algebraic Expressions is an expression formed from any combination of numbers and variables by using the operations of addition, subtraction, multiplication, division, exponentiation (raising to powers), or extraction of roots.For instance,,, , , , and are algebraic expressions. By an algebraic expression in certain variables, we mean an expression that contains only those variables, and by a constant, we mean an algebraic expression that contains no variables at all. If numbers are substituted for the variables in an algebraic expression, the resulting number is called the value of the expression for these values of the variables.
If an algebraic expression consists of parts connected by plus or minus signs, it is called an
coefficient of the remaining part. For instance, in the term , the coefficient of is , whereas the coefficient of is . A coefficient such as , which involves no variables, is called a numerical coefficient. Terms such as and , which differ only in their numerical coefficients, are called like terms or similar terms.An algebraic expression such as can be considered an algebraic sum consisting of just one term. Such a one-termed expression is called a monomial. An algebraic sum with two terms is called a binomial, and an algebraic sum with three terms is called a trinomial. For instance, the expression is a binomial, whereas is a trinomial. An algebraic sum with two or more terms is called a multinomial.
A
A polynomial of degree in a single variable can be written in |

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