Question

Select the polynomial function? (picture attached below)

Answer 1

A. f(x) = x^3 * (x-3)^3
B. f(x) = x^3 * (x-12) * (x+3)
C. f(x) = x * (x-3)^5
D. f(x) = -x^3 * (x-3)^3

Answer 2

From the graph, 0 and 3 are roots. They are triple roots because of the change in concavity of the curve as it passes through them.

If 0 is a triple root, then there is an x^3 component.

If 3 is a triple root, then there is an (x - 3)^3 componet.

Remember: If 3 is a root, then x - 3 is a factor.

F(x) = x^3 * (x - 3)^3 --> Is there anything that looks like this? @JoeJoldin

Answer 3

Whoa, just a minute. Quadrants of entrance and exit have to be checked.

Answer 4

This is what I got: A. f(x) = x^3 * (x-3)^3

What do you think? @JoeJoldin

Answer 5

thank you so much

Answer 6

You are welcome.