Why is (\frac{x^5+3x^2}{x^2}) not considered a polynomial in its original form?

Correct answer: Because the variable is in the denominator

The direct answer is A, because x² appears in the denominator in the original form. By definition, a polynomial is written using non-negative integer powers of the variable, not a variable in a denominator. Indeed, for x≠0 the expression can be simplified: (x⁵+3x²)/x²=x³+3. The simplified expression is a polynomial, but the original rational expression has the restriction x≠0 and is not identical as a function at x=0, where the original expression is undefined. Option A states the relevant original-form reason. Option B is wrong because x⁵ is a perfectly allowed non-negative integer power. Option C is wrong because 3x² is also an ordinary polynomial term. Option D is wrong because addition is allowed in polynomials. Keep the distinction clear: simplification may produce a polynomial expression, but the original domain restriction remains.