ce6454d5_d_difference_from_a_polynomial__Explanation
[Example Polynomial] (6x2 +3x) ÷ (3x) [Explanation] 
Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation)
Polynomial Equation. Examples, non examples and difference from a polynomial
Explanation