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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