The polynomial function is P(x) = x^3(x + 1)^3(x -1)
<h3>How to determine the polynomial function?</h3>
The zeros of the polynomial and the multiplicities are given as:
- -1 as a zero of multiplicity 3,
- 0 as a zero of multiplicity 3,
- 1 as a zero of multiplicity 1
The degree is given as
Degree = 7
The polynomial is represented as:
P(x) = (x - zero)^multiplicity
Using the above format, we have
P(x) = (x + 1)^3(x - 0)^3(x -1)
This gives
P(x) = x^3(x + 1)^3(x -1)
Hence, the polynomial function is P(x) = x^3(x + 1)^3(x -1)
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