The first two steps in determining the solution set of the system of equations, y = x2 – 2x – 3 and y = –x 3, algebraically are
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For this case we have the following expression:
The roots are:
For example: For x = 0 we have
so it is shown that is a root.
By definition, multiplicity represents the number of times a root is repeated in a polynomial, in turn it is given by the degree of the term that contains the root.
Thus:
The multiplicity of 0 is 1
The multiplicity of -2 is 3
The multiplicity of -4 is 2
The multiplicity of 5 is 4
Answer:
The multiplicity of 0 is 1
The multiplicity of -2 is 3
The multiplicity of -4 is 2
The multiplicity of 5 is 4