What is a polynomial function with the roots -1, 2, and 3?

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Answer 1 · 2015-09-20T04:36:39

It is a cubic IE.(it has 3 roots)

(x+1)(x-2)(x-3)

Lets define a cubic;

3 ROOTS#-> alpha,beta,gamma#

So we can say that a cubic is

#(x-alpha)(x-beta)(x-gamma)#

We are given ;
#alpha=-1,beta=2,gamma=3#

Finally substituting;

We get our cubic function to be
#f(x)=(x+1)(x-2)(x-3)#