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, ).

Simplify terms.

Rewrite as .

Factor out of .

Factor out of .

Simplify the expression.

Move a negative from the denominator of to the numerator.

Reorder terms.

Combine the numerators over the common denominator.

Simplify the numerator.

Apply the distributive property.

Multiply by .

Subtract from .

Subtract from .

Add and .

Move the negative in front of the fraction.

Determine if the expression breaks any of the rules.

Breaks rule

Determine if the expression is a polynomial.

Not a polynomial

Determine if a Polynomial (x-4)/(x-3)+(x-1)/(3-x)