How do you write a polynomial function that has the zeros 2, -1, 0?

1 Answer
Shwetank Mauria
Nov 7, 2016

Polynomial function that has the zeros 2, -1 and 0 is x^3-x^2-2x

Explanation:

A polynomial function with zeros alpha (multiplicity p), betaa (multiplicity q) and gamma (multiplicity r) is

(x-alpha)^p(x-beta)^q(x-gamma)^r

Hence, a polynomial function that has the zeros 2, -1 and 0 (multiplicity not mentioned and hence 1) is

(x-2)(x-(-1))(x-0)=x(x+1)(x-2)=x(x^2-2x+x-2)=x^3-x^2-2x

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