Expressions and Variables: Simplifying Polynomial Expressions

In mathematics, a polynomial is an expression consisting of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non–negative integer exponents of variables.

-  Polynomials must always be simplified as much as possible. It means you must add together any like terms. (values with same variable and same power)

Examples:
Example 1.  Simplify this Polynomial Expressions.
Solution: Combine “like” terms:
Then:
Now, write the expression in standard form:

Example 2.  Simplify this expression.
Solution: First, multiply into :

Then combine “like” terms:
And write in standard form:

Example 3.  Simplify.
Solution: Combine “like” terms:
Then:
And write in standard form: