Question

Write a possible polynomial function in factored form with roots 0, -5, and 3.

Answer 1

roots :

x=0

x=-5

x=3

So, the roots make the function 0.

x=-5

0=x+5 (one term)

x=3

x-3 =0 (other term)

So far we have_

f(x)= (x+5) (x-3)

Since zero is also a root, we have to multiply both terms by x.

f(x)= x (x+5) (x-3)