How to find multiplicity of a zero

Advertisement. Polynomials have the property that if r is a zero of the polynomial p (x), then p (x) is divisible by x−r. The multiplicity of a zero is how many times you can divide out

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Polynomial Graphs: Zeroes and Their Multiplicities

The multiplicity of a zero z of a function f is the number n such that lim x → z f ( x) ( x − z) n is finite, providing that the limit exists. (By finite, I mean not zero and not infinite.) Of course it is
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3.4: Graphs of Polynomial Functions

The multiplicity of each zero is the number of times that its corresponding factor appears. In other words, the multiplicities are the powers. (For the factor x − 5 , the understood power is 1 .)