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 the numerator.

Factor out of .

Raise to the power of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Reorder terms.

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

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+3x^4-21x^2)/(x^3)