Completely factor the following polynomial, then use the Fundamental Theorem of Algebra to
determine the number of roots of the polynomial. Next, determine which of the factors has a
multiplicity of 4 and compare it to the Code Breaker Guide to find the fifth piece of the code.
(x+1)(x-2)²(x²-9)(x+3)³
Completely factored:
Factor with multiplicity of 4:
Code Piece: