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, ).

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

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 square root of 1+x+ square root of 25-x^2