Tue June 07, 2011 By:

What is the difference between polynomials and algebric expression?

Expert Reply
Tue June 07, 2011
In mathematics, the word expression is a term for any well-formed combination of mathematical symbols ,variables and constants. An algebraic expression is only a phrase, not a whole sentence, so it cannot contain an equality sign (=).

A polynomial is a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power and multiplied by a coefficient. The simplest polynomials have one variable.  A one-variable (univariate) polynomial of degree n has the following form:

anxn + an-1xn-1 + ... + a2x2 + a1x1 + a0x0

where the a's represent the coefficients and x represents the variable.

Note: Every polynomial is an algebri expression but every alg. expression is not a polynomial.

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