Question

Find a polynomial function that has the given zeros. (There are many correct answers.) 0, 1, 7

Answer 1

Given those zeros you have

X=0, x=1, and x=7

Since your factors are set equal to zero you just rewrite what’s above to equal 0.

X is just x
X=1 is (x-1)
X=7 is (x-7)

So your function is

x(x-1)(x-7)