Assertion (A): x3 + 2x2 – x – 2 is a polynomial of degree 3. Reason (R): x + 2 is a factor of the polynomial.

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Both A and R are correct and R is not the correct explanation for A. Explanation: A is true because the highest power of x is 3 (degree = 3). R is true because f(–2) = (–2)3 + 2(–2)2 – (–2) – 2 = –8 + 8 + 2 – 2 = 0 So, x + 2 is a factor. However, R is not the reason for A having x + 2 as a factor doesn’t explain why the polynomial’s degree is 3.

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