Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicit
y: 3 Zero: 0, multiplicity: 2 Degree: 5
1 answer:
Given:
Zero: 2, multiplicity: 3
Zero: 0, multiplicity: 2
Degree: 5
Leading coefficient = 1
To find:
The polynomial function.
Solution:
The general form of a polynomial is

where, a is a constant,
are zeroes with multiplicity
.
Using the given information and the general form of a polynomial, we get



Leading coefficient is 1, so the value of a is also 1.


Therefore, the required polynomial is
.
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