Is (0.25x^2-5x+3) a polynomial in (x)?

Correct answer: Yes, because a decimal coefficient is a real number

Direct answer: Option A, yes, because a decimal coefficient is a real number, is correct. A polynomial may have real-number coefficients, including whole numbers, fractions, and terminating decimals. The expression has terms with powers x^2, x, and x^0: 0.25x^2, −5x, and 3. These powers are non-negative integers, and no variable is in a denominator or under a root. Therefore it is a polynomial in x; its degree is 2 because the highest non-zero exponent is 2. Option B is wrong because a decimal is not forbidden; 0.25 is simply a real coefficient. Option C is wrong because a polynomial can have three terms; that makes it a trinomial, not an invalid expression. Option D is wrong because x^2 is an allowed whole-number power. Option A correctly focuses on coefficients and powers. Memory cue: decimals and fractions are allowed; reject an expression when the variable has a negative, fractional, or denominator-related power.