Question

What is an algebraic expression?

Answer 1

Algebraic expression.

An algebraic expression is a combination of terms using the arithmetic operations like Addition$\left(+\right)$, Subtraction$\left(-\right)$, Multiplication$\left(\times \right)$, Division$\left(÷\right)$. For example: $9x+5$, here the expression has two terms $9x,5$ $y$ is the variable and $9$ is the coefficient of the variable $y$ and $5$ is the constant term.

Types of algebraic expressions on the basis of number of terms:

1. Monomial - consisting only one non-zero term. For example: $2x$
2. Binomial - consisting two non-zero terms. For example: $2x+5$
3. Polynomial - consisting more than one non-zero terms with positive integral exponents. For example: $2x+5xy+6$
4. Multinomial- Consisting one or more terms, here the exponents of variables can be either positive or negative. For example: $9x^{-2}+3z+7$.

Thus, an algebraic expression is a combination of terms using the arithmetic operations like Addition$\left(+\right)$, Subtraction$\left(-\right)$, Multiplication$\left(\times \right)$, Division$\left(÷\right)$.