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

1 Answer
Sep 20, 2015

Answer:

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

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

Explanation:

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)#