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##### Asked by: Kirsti Pruene

technology and computing information and network security# What are polynomial expressions and how do you simplify them?

**polynomial**and combine

**them**to get a

**simplified polynomial**. Like terms have the exact same variables and exponents; only the coefficients are different. To

**simplify**like terms just add or subtract the coefficients.

Besides, what are polynomial expressions?

In mathematics, a **polynomial** is an **expression** consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a **polynomial** of a single indeterminate, x, is x^{2} − 4x + 7.

**coefficient**is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. For example, if y is considered as a parameter in the above expression, the

**coefficient**of x is −3y, and the constant

**coefficient**is 1.5 + y.

Beside this, how do you simplify expressions?

**Here are the basic steps to follow to simplify an algebraic expression:**

- remove parentheses by multiplying factors.
- use exponent rules to remove parentheses in terms with exponents.
- combine like terms by adding coefficients.
- combine the constants.

**Polynomial Equations Formula** Usually, the **polynomial equation** is expressed in the form of a_{n}(x^{n}). Example of a **polynomial equation** is: 2x^{2} + 3x + 1 = 0, where 2x^{2} + 3x + 1 is basically a **polynomial** expression which has been set equal to zero, to form a **polynomial equation**.