Suppose that A, B, and C are invertible matrices of the same
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Multiplicity is how many times the root (or zero) is repeated
example, in
the root b has a multiplicity of n and the root d has a multiplicity of m
first we need to get the roots into
for (3x+5), we need to force factor out the 3 to get
factor the other one
but it is
which is equivilent to 
which simplifies to 
so we get
so the roots are -5/3 multiplicity 1 and 3 multiplicity 4
3 has a multilicity of 4
example, in
first we need to get the roots into
for (3x+5), we need to force factor out the 3 to get
factor the other one
but it is
so we get
so the roots are -5/3 multiplicity 1 and 3 multiplicity 4
3 has a multilicity of 4