Question

Find a polynomial of degree five with roots...

Answer 1

I narrowed my choices to either B. (x-1)^2(x-3)^2(x+3)/3 or D. -(x-1)^2(x+3)^2(x-3)/3 I just do not know which one it is they both pass through y = 9?

Answer 2

and they both touch at -3, 1 and 3.

Answer 3

B. (x-1)^2(x-3)^2(x+3)/3
or
D. -(x-1)^2(x+3)^2(x-3)/3

You're right that both of those have y intercept of 9.

Only one of those has roots of multiplicity two at x=3 and x=1.

Answer 4

would that be B. then because it has the graph going up to 2 and then back down?