Consider the following polynomial function. — - . - = h(x)=x^3−9x^2+27x−27=(x−3)(x−3)(x−3). Determine the multiplicity of the zero x = 3.

Consider the following polynomial function. — - . - = h(x)=x^3−9x^2+27x−27=(x−3)(x−3)(x−3). Determine the multiplicity of the zero x = 3.

Question
Functions
asked 2021-02-03
Consider the following polynomial function. — - . - = h(x)=x^3−9x^2+27x−27=(x−3)(x−3)(x−3). Determine the multiplicity of the zero x = 3.

Answers (1)

2021-02-04
A zero has a "multiplicity", which refers to the number of times that its associated factor appears in the polynomial. Since x=3 has an associated factor of (x−3) and appears 3 times in h(x), then the multiplicity of x=3 is 3.
0

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