If a polynomial p(x) can be factored as a product of two lower degree polynomials p₁(x) and p2(x) as p(x) = P₁(x)p₂(x) then it can be proved that p(A) = P₁(A)p2(A) for an arbitrary square matrix A. Verify this statement for polynomials p(x) = x² − 9, P₁(x) =x+3, p₂(x) = x − 3. -

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