# Pre-Algebra Examples

A polynomial is a combination of terms separated using or signs. Polynomials cannot contain any of the following:

1. Variables raised to a negative or fractional exponent. (,,).

2. Variables in the denominator. (,,).

3. Variables under a radical. (,,).

4. Special features. (trig functions, absolute values, logarithms, ).

Multiply by to get .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Remove parentheses.

Simplify and combine like terms.

Simplify each term.

Simplify .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and to get .

Rewrite as .

Multiply by to get .

Multiply by to get .

Multiply by to get .

Add and to get .

Subtract from to get .

Subtract from to get .

Determine if the expression breaks any of the rules.

Does not break any of the rules

Determine if the expression is a polynomial.

Polynomial