Write a polynomial equation that is best represented by the graph.

So we gots apolynomial equation that is 3rd degree and crosses x axis at x=-1, x=0 and x=2

the factors of a poly equation that passes through r1, r2, r3 is

(x-r1) (x-r2) (x-r3)

so

r1=-1

r2=0

r3=2

f (x) = (x - (-1)) (x-0) (x-2)

f (x) = (x+1) (x) (x-2)

f (x) = x³-x²-2x

leading coefient is posiitve because 3rd degree equations that are postive go bottom left to top right

yah

actually that looks like the exact graph

both

f (x) = (x+1) (x) (x-2)

and

f (x) = x³-x²-2x

are correct