If a polynomial p(x) can be factored as a product of lower degree polynomials, say p(x)
Chapter 1, Problem 30(choose chapter or problem)
If a polynomial p(x) can be factored as a product of lower degree polynomials, say p(x) = p1(x)p2(x) and if A is a square matrix, then it can be proved that p(A) = p1(A)p2(A) In Exercises 2930, verify this statement for the stated matrix A and polynomials p(x) = x2 9, p1(x) = x + 3, p2(x) = x 3.An arbitrary square matrix A.
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