Can't use \(a^2 - b^2\)

Algebra Level 4

Let \(a\) be a non-zero real number and \(p(x)\) be a polynomial of degree greater than 2. If \(p(x)\) leaves remainder \(a\) and \(-a\) respectively by \(x+a\) and \(x-a\), the remainder when \(p(x)\) is divided by \(x^2 - a^2\) is

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