The factor that has a multiplicity of 3 is x - 2, and the polynomial has 7 roots.
<h3>The polynomial</h3>
The polynomial is given as:
Express 4 as 2^2. So, the polynomial becomes
Apply the difference of two squares on (x^2 - 2^2).
So, we have:
Group the common factors
<h3>Multiplicity</h3>
For a factor to have a multiplicity of 3, it means that the exponent (i.e. power) is 3.
This means that x - 2 has a multiplicity of 3.
<h3>The number of roots</h3>
Next, we add the multiplicities of each factor, to get the number of roots.
Hence, the polynomial has 7 roots
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