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Answer:
The polynomial function
To determine the multiplicity of 0, -2, -4, 5.
The multiplicity of a root is the number of times the root appears.
First find the root of the equation, set the function equals to zero.
therefore, the root of this function are, x=0,-2, -4, 5
To find the multiplicity of the roots:
A factor of x would have a root at x=0 with multiplicity of 1
similarly, x=-2 with multiplicity of 3
x=-4 with multiplicity of 2
x=5 with multiplicity of 4.