Riya adds the polynomials \(x^5+3x^2\) and \(-x^5+x\) and says that the resulting polynomial has degree 5. Which option correctly explains Riya’s error?

Correct answer: The \(x^5\) terms cancel; the resulting polynomial \(3x^2+x\) has degree 2

When adding polynomials, combine terms with the same exponent: \(x^5+(-x^5)=0\). Thus, the resulting polynomial is \(3x^2+x\), whose highest exponent among its non-zero terms is 2. Therefore, its degree is 2. Option A ignores that the \(x^5\) terms have opposite coefficients and cancel. Exam tip: simplify the polynomial first, then identify the highest remaining exponent to find its degree.