Question

How will you determine whether a given algebraic expression is a polynomial or not a polynomial?

Answer 1

Difference between algebraic expression and polynomial

Explanation:

Algebraic expression:

• An algebraic expression is made up of variable, constants and arithmetic operators like addition, subtraction, etc.

Polynomial

• A polynomial is an expression consisting of variables and coefficients, that involves operations like addition, subtraction, multiplication.
• A polynomial cannot have negative exponential powers.

Difference between algebraic expression and polynomial

• All polynomials are algebraic expression.
• All algebraic expression cannot be polynomials.
• Polynomial must have no negative exponents.
• Polynomial does not have variable inside radical system.