If a polynomial p(x) can be factored as a product of two lower degree polynomials
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If a polynomial p(x) can be factored as a product of two lower degree polynomials

1. a. Given A =    compute the following,

i. A3

ii. A-3

iii. A2 - 2A + I

b. 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.

Hint
MathematicsA polynomial is a  factor of variables, components and exponents brought together by mathematical expression. Its written in standard form once the basic terms are organised from the highest to the lowest degree. A polynomial function consists of zero or the sum of a finite number....
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