Which statement is correct about (x^2+\sqrt{x^2+4})?

Correct answer: It is not a polynomial because the variable is inside a root

The correct answer is B: the expression is not a polynomial in the Grade 9 sense. A polynomial may contain powers such as x^0, x^1, x^2, but it cannot contain the variable inside a square root in this form. The second part is √(x^2+4), where x occurs under the radical, so it is not a polynomial term. Although x^2 itself is a valid quadratic term, one non-polynomial part makes the entire sum non-polynomial. Option A is wrong because the expression is not a quadratic polynomial. Option B is correct. Option C is wrong because x is present, so the expression is not constant. Option D is wrong because it is not a linear polynomial either. The important school-level test is to inspect the form of every term, not just the first term. Memory cue: a variable under a root generally signals “not a polynomial.”