Question
Tatiana Was Asked To Construct A Polynomial Function With The Following Zeros And Multiplicities. Which Function Should She Write?
ZERO MULTIPLICITY
x = 1 3
x = 81 5
ZERO MULTIPLICITY
x = 1 3
x = 81 5
Answers
Answered by
GPT 3.5
To construct a polynomial function with the given zeros and multiplicities, we can use the factored form of a polynomial.
Since x = 1 has a multiplicity of 3, it means that (x - 1) is a factor of the polynomial function.
Similarly, since x = 81 has a multiplicity of 5, it means that (x - 81) is also a factor of the polynomial function.
To find the polynomial function, we can multiply these factors together:
f(x) = (x - 1)^3 * (x - 81)^5
Since x = 1 has a multiplicity of 3, it means that (x - 1) is a factor of the polynomial function.
Similarly, since x = 81 has a multiplicity of 5, it means that (x - 81) is also a factor of the polynomial function.
To find the polynomial function, we can multiply these factors together:
f(x) = (x - 1)^3 * (x - 81)^5
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